122:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.3 Ecuaciones cuadráticas. Fórmula general:@0.293660:0.135050:0.639941:0.135050:0.639941:0.118103:0.293660:0.118103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Patricio quiere cercar un terreno y necesita conocer cuál es la medida de cada lado de un :@0.293660:0.162413:0.930987:0.162413:0.930987:0.145979:0.293660:0.145979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terreno cuadrangular, si al multiplicarlo por 12 le sobran 70 unidades para ser igual a su :@0.293660:0.179055:0.931418:0.179055:0.931418:0.162621:0.293660:0.162621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área. Planteemos la ecuación que modela el problema::@0.293660:0.195697:0.690171:0.195697:0.690171:0.179263:0.293660:0.179263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12  + 70 =  2:@0.562038:0.231213:0.658510:0.231213:0.658510:0.214779:0.562038:0.214779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.579838:0.231213:0.587293:0.231213:0.587293:0.214807:0.579838:0.214807:0.000000
x :@0.642606:0.231213:0.653301:0.231213:0.653301:0.214807:0.642606:0.214807:0.000000:0.000000
x :@0.549944:0.253277:0.560639:0.253277:0.560639:0.236871:0.549944:0.236871:0.000000:0.000000
2 – 12  – 70 = 0:@0.560584:0.253277:0.670641:0.253277:0.670641:0.236844:0.560584:0.236844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.600601:0.253277:0.608056:0.253277:0.608056:0.236871:0.600601:0.236871:0.000000
La ecuación no es factorizable, por lo tanto, resolveremos utilizando la fórmula general.:@0.293642:0.284217:0.905600:0.284217:0.905600:0.267784:0.293642:0.267784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos los coeficientes de la ecuación: :@0.293660:0.372318:0.623492:0.372318:0.623492:0.355884:0.293660:0.355884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.293660:0.399681:0.302919:0.399681:0.302919:0.383275:0.293660:0.383275:0.000000
 = 1,   = –12 y   = –70, reemplazamos en la fórmula general:@0.302845:0.399681:0.734124:0.399681:0.734124:0.383248:0.302845:0.383248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.337617:0.399681:0.346875:0.399681:0.346875:0.383275:0.337617:0.383275:0.000000
c:@0.408448:0.399681:0.416105:0.399681:0.416105:0.383275:0.408448:0.383275:0.000000
Descartamos la solución negativa, ya que no satisface el problema.:@0.293660:0.556725:0.776442:0.556725:0.776442:0.540291:0.293660:0.540291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cada lado del terreno mide 16,29 m.:@0.293660:0.584088:0.556525:0.584088:0.556525:0.567654:0.293660:0.567654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtención de la fórmula general para resolver ecuaciones cuadráticas :@0.293660:0.615028:0.824120:0.615028:0.824120:0.598358:0.293660:0.598358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Podemos utilizar la técnica de completar el TCP para obtener la fórmula general que :@0.293660:0.642390:0.930617:0.642390:0.930617:0.625956:0.293660:0.625956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determine las raíces de la ecuación cuadrática :@0.293660:0.659032:0.630388:0.659032:0.630388:0.642598:0.293660:0.642598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.629997:0.659032:0.649877:0.659032:0.649877:0.642626:0.629997:0.642626:0.000000:0.000000:0.000000
2 +   +   = 0.:@0.649822:0.659032:0.747528:0.659032:0.747528:0.642598:0.649822:0.642598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.673807:0.659032:0.690281:0.659032:0.690281:0.642626:0.673807:0.642626:0.000000:0.000000
c:@0.709020:0.659032:0.716677:0.659032:0.716677:0.642626:0.709020:0.642626:0.000000
•  Dividimos cada lado de la ecuación para :@0.293660:0.693386:0.616597:0.693386:0.616597:0.676952:0.293660:0.676952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.652608:0.693794:0.662714:0.693794:0.662714:0.678179:0.652608:0.678179:0.000000
= −:@0.692773:0.693794:0.716627:0.693794:0.716627:0.678179:0.692773:0.678179:0.000000:0.000000:0.000000
a: x:@0.618866:0.693115:0.642225:0.693115:0.642225:0.676709:0.618866:0.676709:0.000000:0.000000:0.000000:0.000000
b:@0.667106:0.684132:0.676365:0.684132:0.676365:0.667726:0.667106:0.667726:0.000000
a:@0.667309:0.703631:0.676568:0.703631:0.676568:0.687225:0.667309:0.687225:0.000000
x:@0.680899:0.693115:0.688353:0.693115:0.688353:0.676709:0.680899:0.676709:0.000000
c:@0.720745:0.684132:0.728403:0.684132:0.728403:0.667726:0.720745:0.667726:0.000000
a:@0.720175:0.703631:0.729433:0.703631:0.729433:0.687225:0.720175:0.687225:0.000000
2:@0.643103:0.685423:0.648309:0.685423:0.648309:0.675899:0.643103:0.675899:0.000000
•  Completamos el cuadrado: :@0.293660:0.733730:0.519462:0.733730:0.519462:0.717296:0.293660:0.717296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.523545:0.733991:0.531000:0.733991:0.531000:0.718555:0.523545:0.718555:0.000000
2:@0.532645:0.726309:0.537851:0.726309:0.537851:0.717202:0.532645:0.717202:0.000000
+:@0.541743:0.734670:0.551849:0.734670:0.551849:0.719055:0.541743:0.719055:0.000000
b:@0.555917:0.725087:0.565175:0.725087:0.565175:0.709652:0.555917:0.709652:0.000000
a:@0.556119:0.744475:0.565378:0.744475:0.565378:0.729040:0.556119:0.729040:0.000000
x:@0.569511:0.733991:0.576966:0.733991:0.576966:0.718555:0.569511:0.718555:0.000000
+:@0.580537:0.734670:0.590643:0.734670:0.590643:0.719055:0.580537:0.719055:0.000000
b:@0.608627:0.725087:0.617885:0.725087:0.617885:0.709652:0.608627:0.709652:0.000000
2:@0.604080:0.744475:0.613063:0.744475:0.613063:0.728762:0.604080:0.728762:0.000000
a:@0.613228:0.744475:0.622487:0.744475:0.622487:0.729040:0.613228:0.729040:0.000000
2:@0.634042:0.715670:0.639248:0.715670:0.639248:0.706564:0.634042:0.706564:0.000000
=:@0.643873:0.734670:0.653979:0.734670:0.653979:0.719055:0.643873:0.719055:0.000000
c:@0.671536:0.725087:0.679193:0.725087:0.679193:0.709652:0.671536:0.709652:0.000000
a:@0.670965:0.744475:0.680224:0.744475:0.680224:0.729040:0.670965:0.729040:0.000000
+:@0.684190:0.734670:0.694296:0.734670:0.694296:0.719055:0.684190:0.719055:0.000000
b:@0.712280:0.725087:0.721538:0.725087:0.721538:0.709652:0.712280:0.709652:0.000000
2:@0.707733:0.744475:0.716716:0.744475:0.716716:0.728762:0.707733:0.728762:0.000000
a:@0.716881:0.744475:0.726140:0.744475:0.726140:0.729040:0.716881:0.729040:0.000000
2:@0.737687:0.715670:0.742892:0.715670:0.742892:0.706564:0.737687:0.706564:0.000000
•  Resolvemos: :@0.293660:0.779116:0.412330:0.779116:0.412330:0.762683:0.293660:0.762683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.429278:0.777384:0.436733:0.777384:0.436733:0.761949:0.429278:0.761949:0.000000
+:@0.440304:0.778064:0.450410:0.778064:0.450410:0.762448:0.440304:0.762448:0.000000
b:@0.458877:0.768481:0.468136:0.768481:0.468136:0.753046:0.458877:0.753046:0.000000
2:@0.454330:0.787869:0.463313:0.787869:0.463313:0.772156:0.454330:0.772156:0.000000
a:@0.463479:0.787869:0.472738:0.787869:0.472738:0.772433:0.463479:0.772433:0.000000
2:@0.484291:0.759064:0.489497:0.759064:0.489497:0.749958:0.484291:0.749958:0.000000
=:@0.494122:0.778064:0.504227:0.778064:0.504227:0.762448:0.494122:0.762448:0.000000
4:@0.519171:0.768480:0.528153:0.768480:0.528153:0.752767:0.519171:0.752767:0.000000
ac b:@0.529055:0.768480:0.570693:0.768480:0.570693:0.753044:0.529055:0.753044:0.000000:0.000000:0.000000:0.000000
+:@0.548880:0.769159:0.558986:0.769159:0.558986:0.753544:0.548880:0.753544:0.000000
2:@0.571255:0.760798:0.576461:0.760798:0.576461:0.751691:0.571255:0.751691:0.000000
4:@0.530572:0.787864:0.539554:0.787864:0.539554:0.772151:0.530572:0.772151:0.000000
a:@0.540456:0.787864:0.549715:0.787864:0.549715:0.772428:0.540456:0.772428:0.000000
2:@0.550286:0.780182:0.555492:0.780182:0.555492:0.771075:0.550286:0.771075:0.000000
  :@0.293660:0.840893:0.301649:0.840893:0.301649:0.824459:0.293660:0.824459:0.000000:0.000000
Las raíces de la ecuación cuadrática son: x = :@0.306912:0.897164:0.628008:0.897164:0.628008:0.880730:0.306912:0.880730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.692037:0.887873:0.702142:0.887873:0.702142:0.872258:0.692037:0.872258:0.000000
ac:@0.714575:0.887194:0.731436:0.887194:0.731436:0.870788:0.714575:0.870788:0.000000:0.000000
a:@0.676767:0.906776:0.686026:0.906776:0.686026:0.890370:0.676767:0.890370:0.000000
4:@0.704691:0.887194:0.713673:0.887194:0.713673:0.870760:0.704691:0.870760:0.000000
2:@0.667619:0.906776:0.676601:0.906776:0.676601:0.890342:0.667619:0.890342:0.000000
La fórmula general sirve :@0.078581:0.327317:0.239720:0.327317:0.239720:0.312377:0.078581:0.312377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para resolver todas las :@0.078581:0.342446:0.227467:0.342446:0.227467:0.327506:0.078581:0.327506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones cuadráticas y :@0.078581:0.357575:0.246204:0.357575:0.246204:0.342635:0.078581:0.342635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las soluciones pueden no :@0.078581:0.372704:0.250153:0.372704:0.250153:0.357764:0.078581:0.357764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser números reales  :@0.078581:0.387833:0.209088:0.387833:0.209088:0.372893:0.078581:0.372893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o complejos.:@0.078581:0.402962:0.162829:0.402962:0.162829:0.388022:0.078581:0.388022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Donde: :@0.078581:0.471360:0.130834:0.471360:0.130834:0.456420:0.078581:0.456420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.078581:0.493637:0.086998:0.493637:0.086998:0.478723:0.078581:0.478723:0.000000
: es coeficiente del :@0.086931:0.493637:0.211943:0.493637:0.211943:0.478697:0.086931:0.478697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término cuadrático. :@0.078581:0.508766:0.211227:0.508766:0.211227:0.493826:0.078581:0.493826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.078581:0.531043:0.086998:0.531043:0.086998:0.516129:0.078581:0.516129:0.000000
: es el coeficiente del :@0.086931:0.531043:0.227071:0.531043:0.227071:0.516104:0.086931:0.516104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término lineal.:@0.078581:0.546172:0.172607:0.546172:0.172607:0.531233:0.078581:0.531233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.078581:0.568450:0.085542:0.568450:0.085542:0.553535:0.078581:0.553535:0.000000
: es el coeficiente del :@0.085475:0.568450:0.225615:0.568450:0.225615:0.553510:0.085475:0.553510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término independiente.:@0.078581:0.583579:0.235752:0.583579:0.235752:0.568639:0.078581:0.568639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión que se :@0.078581:0.605856:0.205936:0.605856:0.205936:0.590916:0.078581:0.590916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra bajo el radical se :@0.078581:0.620985:0.252463:0.620985:0.252463:0.606045:0.078581:0.606045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denomina discriminante :@0.078581:0.636114:0.236401:0.636114:0.236401:0.621174:0.078581:0.621174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y su análisis permite :@0.078581:0.651243:0.207000:0.651243:0.207000:0.636303:0.078581:0.636303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el tipo de :@0.078581:0.666372:0.214380:0.666372:0.214380:0.651432:0.078581:0.651432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones de la ecuación :@0.078581:0.681501:0.245356:0.681501:0.245356:0.666561:0.078581:0.666561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática sin necesidad :@0.078581:0.696630:0.244255:0.696630:0.244255:0.681690:0.078581:0.681690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de resolverla, así::@0.078581:0.711759:0.187277:0.711759:0.187277:0.696819:0.078581:0.696819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.078581:0.734036:0.089056:0.734036:0.089056:0.719121:0.078581:0.719121:0.000000
 =   – 4  se denomina :@0.088989:0.734036:0.251451:0.734032:0.251451:0.719092:0.088989:0.719096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.106075:0.734036:0.114492:0.734036:0.114492:0.719121:0.106075:0.719121:0.000000
2:@0.114435:0.728520:0.119196:0.728520:0.119196:0.719810:0.114435:0.719810:0.000000
ac:@0.142715:0.734032:0.158026:0.734032:0.158026:0.719118:0.142715:0.719118:0.000000:0.000000
discriminante:@0.078590:0.749161:0.172974:0.749161:0.172974:0.734007:0.078590:0.734007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la :@0.172869:0.749161:0.211892:0.749161:0.211892:0.734221:0.172869:0.734221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación. Se presentan :@0.078590:0.764290:0.235107:0.764290:0.235107:0.749350:0.078590:0.749350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos casos::@0.078590:0.779419:0.155442:0.779419:0.155442:0.764479:0.078590:0.764479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.078590:0.799175:0.089066:0.799175:0.089066:0.784260:0.078590:0.784260:0.000000
 = 0, existen  :@0.088999:0.799175:0.174542:0.799175:0.174542:0.784235:0.088999:0.784235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos soluciones reales :@0.078590:0.811782:0.221625:0.811782:0.221625:0.796843:0.078590:0.796843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales.:@0.078590:0.824390:0.127832:0.824390:0.127832:0.809450:0.078590:0.809450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.078590:0.844146:0.089066:0.844146:0.089066:0.829231:0.078590:0.829231:0.000000
 > 0, existen  :@0.088999:0.844146:0.174542:0.844146:0.174542:0.829206:0.088999:0.829206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos soluciones reales :@0.078590:0.856753:0.221625:0.856753:0.221625:0.841813:0.078590:0.841813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes.:@0.078590:0.869361:0.146739:0.869361:0.146739:0.854421:0.078590:0.854421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.078590:0.889116:0.089066:0.889116:0.089066:0.874202:0.078590:0.874202:0.000000
 < 0, la ecuación no tiene :@0.088999:0.889116:0.249823:0.889116:0.249823:0.874177:0.088999:0.874177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones reales.:@0.078590:0.901724:0.185858:0.901724:0.185858:0.886784:0.078590:0.886784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.286610:0.187141:0.286610:0.187141:0.269663:0.078581:0.269663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.303252:0.176057:0.303252:0.176057:0.286305:0.078581:0.286305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 1 G. 10) Reconoce la relación funcional entre variables asociadas a problemas.:@0.454550:0.971366:0.917835:0.971366:0.917835:0.959414:0.454550:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000