﻿:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Una ecuación cuadrática es de la forma :@0.287490:0.332065:0.579992:0.332065:0.579992:0.315676:0.287490:0.315676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.580103:0.332065:0.596835:0.332065:0.596835:0.315703:0.580103:0.315703:0.000000:0.000000
2:@0.596815:0.326018:0.602058:0.326018:0.602058:0.316464:0.596815:0.316464:0.000000
 +   +   = 0, donde  ,   y   son números :@0.602059:0.332066:0.907699:0.332066:0.907699:0.315677:0.602059:0.315677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.621334:0.332066:0.637900:0.332066:0.637900:0.315705:0.621334:0.315705:0.000000:0.000000
c:@0.657176:0.332066:0.664841:0.332066:0.664841:0.315705:0.657176:0.315705:0.000000
a b c:@0.753276:0.332066:0.803215:0.332066:0.803215:0.315705:0.753276:0.315705:0.000000:0.000000:0.000000:0.000000:0.000000
reales y   ≠ 0. La solución se denomina raíz de la ecuación. Tiene dos raíces.:@0.287499:0.348662:0.838498:0.348662:0.838498:0.332273:0.287499:0.332273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.345933:0.348662:0.355202:0.348662:0.355202:0.332301:0.345933:0.332301:0.000000
Resolución de ecuaciones cuadráticas incompletas:@0.287495:0.377857:0.797083:0.377857:0.797083:0.356347:0.287495:0.356347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ecuaciones cuadráticas incompletas de la forma :@0.287495:0.400638:0.672375:0.400638:0.672375:0.384249:0.287495:0.384249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.672651:0.400638:0.689384:0.400638:0.689384:0.384276:0.672651:0.384276:0.000000:0.000000
2:@0.689419:0.394590:0.694662:0.394590:0.694662:0.385036:0.689419:0.385036:0.000000
 +   = 0, se despeja la incóg-:@0.694662:0.400638:0.903595:0.400638:0.903595:0.384249:0.694662:0.384249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.714269:0.400638:0.721935:0.400638:0.721935:0.384276:0.714269:0.384276:0.000000
nita y se extrae la raíz cuadrada de ambos miembros.:@0.287504:0.417234:0.674311:0.417234:0.674311:0.400845:0.287504:0.400845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para las ecuaciones cuadráticas incompletas de la forma :@0.287504:0.440953:0.723336:0.440953:0.723336:0.424564:0.287504:0.424564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.726487:0.440953:0.743219:0.440953:0.743219:0.424592:0.726487:0.424592:0.000000:0.000000
2:@0.743213:0.434911:0.748455:0.434911:0.748455:0.425356:0.743213:0.425356:0.000000
 + :@0.748456:0.440958:0.770661:0.440958:0.770661:0.424569:0.748456:0.424569:0.000000:0.000000:0.000000
bx:@0.773812:0.440958:0.790379:0.440958:0.790379:0.424597:0.773812:0.424597:0.000000:0.000000
 = 0, se extrae :@0.790379:0.440958:0.907671:0.440958:0.907671:0.424569:0.790379:0.424569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el factor común   obteniendo un producto igual a 0. :@0.287489:0.457554:0.675219:0.457554:0.675219:0.441166:0.287489:0.441166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407654:0.457554:0.415117:0.457554:0.415117:0.441193:0.407654:0.441193:0.000000
Resolución de ecuaciones cuadráticas completas :@0.287495:0.486749:0.782518:0.486749:0.782518:0.465239:0.287495:0.465239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por factorización:@0.287495:0.507872:0.459242:0.507872:0.459242:0.486362:0.287495:0.486362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se expresa la ecuación en su forma general y se factoriza utilizando el método que :@0.287495:0.530653:0.907602:0.530653:0.907602:0.514264:0.287495:0.514264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resulte más útil. Resultan dos factores, que se igualan a cero.:@0.287495:0.547249:0.726398:0.547249:0.726398:0.530860:0.287495:0.530860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método por completación de cuadrado perfecto:@0.287495:0.576442:0.773864:0.576442:0.773864:0.554932:0.287495:0.554932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen expresiones algebraicas que no pueden ser factorizadas fácilmente, en estos :@0.287495:0.599223:0.907619:0.599223:0.907619:0.582834:0.287495:0.582834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos podemos encontrar las raíces completando el cuadrado. Consiste en transfor-:@0.287495:0.615820:0.903623:0.615820:0.903623:0.599431:0.287495:0.599431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mar ecuaciones cuadráticas de la forma :@0.287495:0.632416:0.588105:0.632416:0.588105:0.616027:0.287495:0.616027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.589469:0.632416:0.606201:0.632416:0.606201:0.616055:0.589469:0.616055:0.000000:0.000000
2:@0.606195:0.626369:0.611437:0.626369:0.611437:0.616814:0.606195:0.616814:0.000000
 +   +   = 0 en un trinomio cuadrado :@0.611438:0.632416:0.907681:0.632416:0.907681:0.616027:0.611438:0.616027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.633220:0.632416:0.649786:0.632416:0.649786:0.616055:0.633220:0.616055:0.000000:0.000000
c:@0.671568:0.632416:0.679233:0.632416:0.679233:0.616055:0.671568:0.616055:0.000000
perfecto, para ello se verica que el coeciente de   sea uno (  = 1). Luego se suma :@0.287499:0.649012:0.907721:0.649012:0.907721:0.632624:0.287499:0.632624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.475319:0.649012:0.479354:0.649012:0.479354:0.632624:0.475319:0.632624:0.000000
 :@0.581924:0.649012:0.585960:0.649012:0.585960:0.632624:0.581924:0.632624:0.000000
x:@0.659146:0.649012:0.666609:0.649012:0.666609:0.632651:0.659146:0.632651:0.000000
2:@0.666569:0.642965:0.671811:0.642965:0.671811:0.633410:0.666569:0.633410:0.000000
a:@0.742932:0.649012:0.752201:0.649012:0.752201:0.632651:0.742932:0.632651:0.000000
a los dos miembros de la ecuación, la expresión: :@0.287502:0.677434:0.643095:0.677434:0.643095:0.661045:0.287502:0.661045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.656122:0.669421:0.665391:0.669421:0.665391:0.653060:0.656122:0.653060:0.000000
2:@0.656546:0.689032:0.665538:0.689032:0.665538:0.672643:0.656546:0.672643:0.000000
2:@0.676225:0.659873:0.681436:0.659873:0.681436:0.650375:0.676225:0.650375:0.000000
 :@0.645600:0.670263:0.675968:0.670265:0.675968:0.653323:0.645600:0.653321:0.000000:0.000000:0.000000
 :@0.645600:0.690026:0.675972:0.690026:0.675972:0.673084:0.645600:0.673084:0.000000:0.000000:0.000000
 :@0.645600:0.681343:0.675972:0.681343:0.675972:0.664401:0.645600:0.664401:0.000000:0.000000:0.000000
Resolución por la fórmula general:@0.287495:0.706630:0.628336:0.706630:0.628336:0.685120:0.287495:0.685120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver cualquier tipo de ecuación cuadrática se puede utilizar la fórmula general: :@0.287495:0.729411:0.907676:0.729411:0.907676:0.713022:0.287495:0.713022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.291421:0.759837:0.298884:0.759837:0.298884:0.743476:0.291421:0.743476:0.000000
b:@0.328792:0.751069:0.338061:0.751069:0.338061:0.734708:0.328792:0.734708:0.000000
b:@0.366163:0.751069:0.375432:0.751069:0.375432:0.734708:0.366163:0.734708:0.000000
ac:@0.407902:0.751069:0.424781:0.751069:0.424781:0.734708:0.407902:0.734708:0.000000:0.000000
a:@0.372199:0.770682:0.381468:0.770682:0.381468:0.754320:0.372199:0.754320:0.000000
=:@0.303620:0.759422:0.313736:0.759422:0.313736:0.742480:0.303620:0.742480:0.000000
−±:@0.318693:0.750654:0.351052:0.750654:0.351052:0.733712:0.318693:0.733712:0.000000:0.000000
−:@0.385696:0.750654:0.395813:0.750654:0.395813:0.733712:0.385696:0.733712:0.000000
2:@0.375811:0.743414:0.381022:0.743414:0.381022:0.733916:0.375811:0.733916:0.000000
4:@0.398689:0.751076:0.407682:0.751076:0.407682:0.734687:0.398689:0.734687:0.000000
2:@0.363561:0.770682:0.372554:0.770682:0.372554:0.754293:0.363561:0.754293:0.000000
Considera que para determinar el tipo de solución se puede analizar el discriminante::@0.287495:0.794411:0.903640:0.794411:0.903640:0.778022:0.287495:0.778022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.304709:0.480398:0.304709:0.480398:0.289345:0.306727:0.289345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.305496:0.297460:0.305496:0.297460:0.288361:0.284892:0.288361:0.000000
Pienso y progreso:@0.294883:0.249609:0.417347:0.249609:0.417347:0.234245:0.294883:0.234245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuándo la altura del arco es cero?:@0.294883:0.268262:0.524706:0.268262:0.524706:0.253362:0.294883:0.253362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una ecuación?:@0.091308:0.192006:0.244157:0.192006:0.244157:0.177107:0.091308:0.177107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La altura del arco sobre un puente (en metros) desde un punto base del puente está :@0.287495:0.168345:0.907740:0.168345:0.907740:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dada por la ecuación:  ( )=2  − 5  + 2 donde   representa la posición horizontal :@0.287495:0.184941:0.907617:0.184941:0.907617:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.456845:0.184941:0.473891:0.184941:0.473891:0.168580:0.456845:0.168580:0.000000:0.000000:0.000000
x:@0.498750:0.184941:0.506213:0.184941:0.506213:0.168580:0.498750:0.168580:0.000000
2:@0.506235:0.178894:0.511477:0.178894:0.511477:0.169339:0.506235:0.169339:0.000000
x:@0.543764:0.184941:0.551227:0.184941:0.551227:0.168580:0.543764:0.168580:0.000000
x:@0.644489:0.184941:0.651952:0.184941:0.651952:0.168580:0.644489:0.168580:0.000000
(en metros) a lo largo de la base del puente, y  ( ) la altura del arco en ese punto. :@0.287490:0.201538:0.907728:0.201538:0.907728:0.185149:0.287490:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.642186:0.201538:0.659231:0.201538:0.659231:0.185177:0.642186:0.185177:0.000000:0.000000:0.000000
¿En qué puntos el arco toca la base del puente?:@0.287490:0.218134:0.636338:0.218134:0.636338:0.201745:0.287490:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Ecuación cuadrática:@0.286308:0.075160:0.580265:0.075160:0.580265:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Discriminante:@0.294448:0.862652:0.387053:0.862652:0.387053:0.847753:0.294448:0.847753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆ :@0.294448:0.877362:0.308888:0.877362:0.308888:0.861960:0.294448:0.861960:0.000000:0.000000
=   =   −4:@0.308888:0.877739:0.383306:0.877739:0.383306:0.862840:0.308888:0.862840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.322541:0.877739:0.330968:0.877739:0.330968:0.862866:0.322541:0.862866:0.000000
b:@0.348290:0.877739:0.356716:0.877739:0.356716:0.862866:0.348290:0.862866:0.000000
2:@0.356711:0.872242:0.361477:0.872242:0.361477:0.863556:0.356711:0.863556:0.000000
ac:@0.383306:0.877739:0.398701:0.877739:0.398701:0.862866:0.383306:0.862866:0.000000:0.000000
d:@0.412153:0.822481:0.420580:0.822481:0.420580:0.807607:0.412153:0.807607:0.000000
 < 0 No tiene solución en los números reales   = :@0.420580:0.822481:0.758442:0.823927:0.758442:0.809028:0.420580:0.807582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.729172:0.823927:0.736510:0.823927:0.736510:0.809053:0.729172:0.809053:0.000000
x:@0.758610:0.823927:0.765394:0.823927:0.765394:0.809053:0.758610:0.809053:0.000000
 :@0.769063:0.824455:0.798782:0.824455:0.798782:0.808450:0.769063:0.808450:0.000000:0.000000:0.000000
:@0.798782:0.823550:0.807058:0.823550:0.807058:0.808148:0.798782:0.808148:0.000000
f x  = :@0.807058:0.823927:0.843008:0.823927:0.843008:0.809053:0.807058:0.809053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) 0 = :@0.811329:0.823927:0.873280:0.823927:0.873280:0.809028:0.811329:0.809028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.873280:0.824455:0.887235:0.824455:0.887235:0.808450:0.873280:0.808450:0.000000
d:@0.412170:0.865154:0.420597:0.865154:0.420597:0.850280:0.412170:0.850280:0.000000
 = 0:@0.420597:0.865154:0.446094:0.865154:0.446094:0.850255:0.420597:0.850255:0.000000:0.000000:0.000000:0.000000
La solución es una raíz doble:@0.459663:0.851160:0.651193:0.851160:0.651193:0.836261:0.459663:0.836261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.459663:0.873791:0.467001:0.873791:0.467001:0.858918:0.459663:0.858918:0.000000
 = :@0.467001:0.873791:0.488930:0.873791:0.488930:0.858892:0.467001:0.858892:0.000000:0.000000:0.000000:0.000000
x:@0.489097:0.873791:0.495882:0.873791:0.495882:0.858918:0.489097:0.858918:0.000000
 :@0.499551:0.874320:0.529269:0.874320:0.529269:0.858314:0.499551:0.858314:0.000000:0.000000:0.000000
:@0.529269:0.873414:0.537545:0.873414:0.537545:0.858012:0.529269:0.858012:0.000000
ax  + bx + c :@0.537545:0.873791:0.614571:0.873793:0.614571:0.858919:0.537545:0.858918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.552729:0.868295:0.557495:0.868295:0.557495:0.859609:0.552729:0.859609:0.000000
= 0 = :@0.614571:0.873793:0.658496:0.873793:0.658496:0.858894:0.614571:0.858894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.669943:0.870822:0.679048:0.870822:0.679048:0.855574:0.669943:0.855574:0.000000
:@0.661269:0.864063:0.669462:0.864063:0.669462:0.848815:0.661269:0.848815:0.000000
:@0.661269:0.872938:0.669462:0.872938:0.669462:0.857690:0.661269:0.857690:0.000000
:@0.661269:0.881850:0.669462:0.881850:0.669462:0.866602:0.661269:0.866602:0.000000
:@0.700144:0.864063:0.708337:0.864063:0.708337:0.848815:0.700144:0.848815:0.000000
:@0.700144:0.872938:0.708337:0.872938:0.708337:0.857690:0.700144:0.857690:0.000000
:@0.700144:0.881850:0.708337:0.881850:0.708337:0.866602:0.700144:0.866602:0.000000
b:@0.685781:0.863304:0.694123:0.863304:0.694123:0.848578:0.685781:0.848578:0.000000
a:@0.689645:0.880954:0.697988:0.880954:0.697988:0.866229:0.689645:0.866229:0.000000
2:@0.681867:0.880954:0.689961:0.880954:0.689961:0.866204:0.681867:0.866204:0.000000
d:@0.412148:0.912868:0.420575:0.912868:0.420575:0.897995:0.412148:0.897995:0.000000
 > 0:@0.420575:0.912868:0.446072:0.912868:0.446072:0.897969:0.420575:0.897969:0.000000:0.000000:0.000000:0.000000
Tiene dos soluciones reales:@0.459641:0.905325:0.640616:0.905325:0.640616:0.890426:0.459641:0.890426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.459641:0.920412:0.466979:0.920412:0.466979:0.905538:0.459641:0.905538:0.000000
 = :@0.466979:0.920412:0.488908:0.920412:0.488908:0.905513:0.466979:0.905513:0.000000:0.000000:0.000000:0.000000
x:@0.489075:0.920412:0.495860:0.920412:0.495860:0.905538:0.489075:0.905538:0.000000
 :@0.499529:0.920940:0.529248:0.920940:0.529248:0.904935:0.499529:0.904935:0.000000:0.000000:0.000000
:@0.529248:0.920035:0.537523:0.920035:0.537523:0.904633:0.529248:0.904633:0.000000
ax  + bx + c :@0.537523:0.920412:0.614571:0.920413:0.614571:0.905539:0.537523:0.905538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.552729:0.914915:0.557495:0.914915:0.557495:0.906229:0.552729:0.906229:0.000000
= 0 =  , :@0.614571:0.920413:0.698665:0.920413:0.698665:0.905514:0.614571:0.905514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  x:@0.663270:0.920413:0.689293:0.920413:0.689293:0.905539:0.663270:0.905539:0.000000:0.000000:0.000000:0.000000
1:@0.670053:0.923289:0.674819:0.923289:0.674819:0.914603:0.670053:0.914603:0.000000
2:@0.689292:0.923289:0.694058:0.923289:0.694058:0.914603:0.689292:0.914603:0.000000
©Shutterstock:@0.068421:0.272500:0.068421:0.229674:0.056510:0.229674:0.056510:0.272500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ecuaciones cuadráticas se :@0.078665:0.351900:0.253997:0.351900:0.253997:0.338491:0.078665:0.338491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplican en la arquitectura.:@0.101869:0.364471:0.250695:0.364471:0.250695:0.351062:0.101869:0.351062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones incompletas:@0.078036:0.509900:0.245441:0.509900:0.245441:0.494787:0.078036:0.494787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 0:@0.195806:0.531802:0.244672:0.531802:0.244672:0.516903:0.195806:0.516903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.210749:0.531802:0.219175:0.531802:0.219175:0.516928:0.210749:0.516928:0.000000
ax:@0.174915:0.546889:0.190127:0.546889:0.190127:0.532016:0.174915:0.532016:0.000000:0.000000
2:@0.190122:0.541394:0.194888:0.541394:0.194888:0.532708:0.190122:0.532708:0.000000
 −   = 0:@0.194888:0.546892:0.244676:0.546892:0.244676:0.531993:0.194888:0.531993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.212210:0.546892:0.219179:0.546892:0.219179:0.532018:0.212210:0.532018:0.000000
x:@0.184885:0.569334:0.191602:0.569334:0.191602:0.554608:0.184885:0.554608:0.000000
c:@0.230593:0.561442:0.237493:0.561442:0.237493:0.546717:0.230593:0.546717:0.000000
b:@0.230070:0.579093:0.238412:0.579093:0.238412:0.564368:0.230070:0.564368:0.000000
=±:@0.195863:0.568960:0.217224:0.568960:0.217224:0.553712:0.195863:0.553712:0.000000:0.000000
Si   = 0:@0.197267:0.600891:0.244676:0.600891:0.244676:0.585992:0.197267:0.585992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.212210:0.600891:0.219179:0.600891:0.219179:0.586017:0.212210:0.586017:0.000000
ax:@0.166828:0.615978:0.182039:0.615978:0.182039:0.601104:0.166828:0.601104:0.000000:0.000000
2:@0.182031:0.610481:0.186797:0.610481:0.186797:0.601794:0.182031:0.601794:0.000000
 +   = 0:@0.186797:0.615978:0.244676:0.615978:0.244676:0.601079:0.186797:0.601079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.204119:0.615978:0.219179:0.615978:0.219179:0.601104:0.204119:0.601104:0.000000:0.000000
x ax:@0.162556:0.631066:0.188991:0.631066:0.188991:0.616192:0.162556:0.616192:0.000000:0.000000:0.000000:0.000000
(  +  ) = 0:@0.169341:0.631066:0.244676:0.631066:0.244676:0.616167:0.169341:0.616167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.206313:0.631066:0.214740:0.631066:0.214740:0.616192:0.206313:0.616192:0.000000
x:@0.207620:0.646153:0.214405:0.646153:0.214405:0.631280:0.207620:0.631280:0.000000
1:@0.214413:0.649029:0.219179:0.649029:0.219179:0.640343:0.214413:0.640343:0.000000
 = 0:@0.219179:0.646153:0.244676:0.646153:0.244676:0.631254:0.219179:0.631254:0.000000:0.000000:0.000000:0.000000
x:@0.199785:0.667476:0.206502:0.667476:0.206502:0.653622:0.199785:0.653622:0.000000
2:@0.206501:0.670324:0.211219:0.670324:0.211219:0.662102:0.206501:0.662102:0.000000
b:@0.235583:0.659590:0.243925:0.659590:0.243925:0.645736:0.235583:0.645736:0.000000
a:@0.230873:0.677240:0.239215:0.677240:0.239215:0.663387:0.230873:0.663387:0.000000
=:@0.212927:0.667109:0.222032:0.667109:0.222032:0.651861:0.212927:0.651861:0.000000
−:@0.226476:0.659217:0.235582:0.659217:0.235582:0.643969:0.226476:0.643969:0.000000
Si   =   = 0:@0.171520:0.700500:0.244678:0.700500:0.244678:0.685601:0.171520:0.685601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.186463:0.700500:0.194890:0.700500:0.194890:0.685626:0.186463:0.685626:0.000000
c:@0.212212:0.700500:0.219181:0.700500:0.219181:0.685626:0.212212:0.685626:0.000000
ax:@0.199195:0.715588:0.214406:0.715588:0.214406:0.700714:0.199195:0.700714:0.000000:0.000000
2:@0.214413:0.710090:0.219179:0.710090:0.219179:0.701404:0.214413:0.701404:0.000000
 = 0:@0.219179:0.715588:0.244676:0.715588:0.244676:0.700689:0.219179:0.700689:0.000000:0.000000:0.000000:0.000000
ax:@0.202879:0.730675:0.218090:0.730675:0.218090:0.715802:0.202879:0.715802:0.000000:0.000000
2:@0.218082:0.725178:0.222848:0.725178:0.222848:0.716492:0.218082:0.716492:0.000000
 =0:@0.222848:0.730675:0.244676:0.730675:0.244676:0.715776:0.222848:0.715776:0.000000:0.000000:0.000000
x:@0.178756:0.745763:0.185540:0.745763:0.185540:0.730889:0.178756:0.730889:0.000000
1:@0.185540:0.748639:0.190306:0.748639:0.190306:0.739953:0.185540:0.739953:0.000000
 =   = 0:@0.190306:0.745763:0.244676:0.745763:0.244676:0.730864:0.190306:0.730864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207628:0.745763:0.214413:0.745763:0.214413:0.730889:0.207628:0.730889:0.000000
2:@0.214413:0.748639:0.219179:0.748639:0.219179:0.739953:0.214413:0.739953:0.000000
     Matemática:@0.115799:0.476567:0.223340:0.476567:0.223340:0.459667:0.115799:0.459667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.27. :@0.298180:0.958103:0.353423:0.958103:0.353423:0.945812:0.298180:0.945812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver ecuaciones que se pueden reducir a ecuaciones de segundo grado con una incógnita.:@0.353421:0.958103:0.861158:0.958103:0.861158:0.946184:0.353421:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000