118:@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
6.1 Solución de una ecuación de segundo grado:@0.293660:0.136836:0.669603:0.136836:0.669603:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen varios métodos para resolver una ecuación cuadrática. Entre ellos, el método :@0.293660:0.164198:0.930671:0.164198:0.930671:0.147764:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfico, por factorización o empleando la fórmula general.:@0.293660:0.180840:0.712565:0.180840:0.712565:0.164406:0.293660:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a comenzar analizando la solución por el método gráfico.:@0.293660:0.208202:0.760459:0.208202:0.760459:0.191768:0.293660:0.191768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un conjunto residencial se construye un jardín cuadrado de césped rodeado de un :@0.293660:0.235564:0.930671:0.235564:0.930671:0.219130:0.293660:0.219130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cerco de cipreses. El precio del metro cuadrado de césped es $4, y el metro lineal de :@0.293660:0.252206:0.930881:0.252206:0.930881:0.235772:0.293660:0.235772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cipreses $4. Si el costo del jardín es $48, ¿cuál es el área del terreno?:@0.293660:0.268848:0.780928:0.268848:0.780928:0.252414:0.293660:0.252414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero, debemos determinar la ecuación que modela la situación. Como el jardín es un :@0.293660:0.296210:0.931295:0.296210:0.931295:0.279776:0.293660:0.279776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado, su área es:  2. :@0.293660:0.312851:0.470407:0.312851:0.470407:0.296418:0.293660:0.296418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.447342:0.312851:0.458037:0.312851:0.458037:0.296445:0.447342:0.296445:0.000000:0.000000
Entonces, el costo de la instalación del césped es 4 2.:@0.293679:0.340213:0.679071:0.340213:0.679071:0.323779:0.293679:0.323779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.660038:0.340213:0.670733:0.340213:0.670733:0.323807:0.660038:0.323807:0.000000:0.000000
El perímetro del jardín es 4  y el costo de la instalación de los cipreses es 16 .:@0.293679:0.367575:0.847534:0.367575:0.847534:0.351141:0.293679:0.351141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.486071:0.367575:0.493526:0.367575:0.493526:0.351169:0.486071:0.351169:0.000000
x:@0.836950:0.367575:0.844405:0.367575:0.844405:0.351169:0.836950:0.351169:0.000000
La ecuación resultante: 4 2 + 16  = 48.:@0.293660:0.394937:0.572254:0.394937:0.572254:0.378503:0.293660:0.378503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.472615:0.394937:0.483310:0.394937:0.483310:0.378531:0.472615:0.378531:0.000000:0.000000
x:@0.525039:0.394937:0.532494:0.394937:0.532494:0.378531:0.525039:0.378531:0.000000
Una :@0.303147:0.430480:0.336206:0.430480:0.336206:0.414046:0.303147:0.414046:0.000000:0.000000:0.000000:0.000000
ecuación cuadrática:@0.336367:0.430480:0.490936:0.430480:0.490936:0.413533:0.336367:0.413533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 o de segundo grado es aquella que se puede escribir de la :@0.490730:0.430480:0.918025:0.430480:0.918025:0.414046:0.490730:0.414046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma :@0.303142:0.447122:0.350122:0.447122:0.350122:0.430688:0.303142:0.430688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax 2 + bx + c,:@0.350025:0.447122:0.440084:0.447122:0.440084:0.430439:0.350025:0.430439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 donde: :@0.440073:0.447122:0.499510:0.447122:0.499510:0.430688:0.440073:0.430688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.303142:0.474484:0.350872:0.474484:0.350872:0.458078:0.303142:0.458078:0.000000:0.000000:0.000000:0.000000:0.000000
,   y   (llamados coeficientes) son números reales cualesquiera y  es distinto de :@0.312143:0.474484:0.877332:0.474484:0.877332:0.458050:0.312143:0.458050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.765808:0.474484:0.775748:0.474484:0.775748:0.457537:0.765808:0.457537:0.000000
 :@0.775490:0.474484:0.778877:0.474484:0.778877:0.457329:0.775490:0.457329:0.000000
cero:@0.876969:0.474484:0.910559:0.474484:0.910559:0.457537:0.876969:0.457537:0.000000:0.000000:0.000000:0.000000
.:@0.910286:0.474484:0.913489:0.474484:0.913489:0.458050:0.910286:0.458050:0.000000
Método gráfico:@0.293607:0.517059:0.414349:0.517059:0.414349:0.500112:0.293607:0.500112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver una ecuación cuadrática significa hallar los valores de la incógnita que hacen :@0.293607:0.544421:0.931438:0.544421:0.931438:0.527987:0.293607:0.527987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verdadera la igualdad. Las soluciones reales de la ecuación corresponden a los puntos de :@0.293607:0.561063:0.931326:0.561063:0.931326:0.544629:0.293607:0.544629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corte de la parábola con el eje  .:@0.293607:0.577705:0.526458:0.577705:0.526458:0.561271:0.293607:0.561271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.515874:0.577705:0.523329:0.577705:0.523329:0.561299:0.515874:0.561299:0.000000
Resolviendo la ecuación 4 2 + 16  = 48 que modela el problema planteado al inicio, :@0.293607:0.605067:0.930956:0.605067:0.930956:0.588633:0.293607:0.588633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.489184:0.605067:0.496639:0.605067:0.496639:0.588661:0.489184:0.588661:0.000000
x:@0.541571:0.605067:0.549026:0.605067:0.549026:0.588661:0.541571:0.588661:0.000000
tenemos: :@0.293625:0.621709:0.365369:0.621709:0.365369:0.605275:0.293625:0.605275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.293625:0.649071:0.356388:0.649071:0.356388:0.632124:0.293625:0.632124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.356302:0.649071:0.359505:0.649071:0.359505:0.632637:0.356302:0.632637:0.000000
 determinar el vértice ( ,  ) de la parábola. :@0.359431:0.649071:0.665341:0.649071:0.665341:0.632637:0.359431:0.632637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.522611:0.649071:0.546670:0.649071:0.546670:0.632665:0.522611:0.632665:0.000000:0.000000:0.000000
  :@0.474306:0.695559:0.482294:0.695559:0.482294:0.679126:0.474306:0.679126:0.000000:0.000000
  :@0.761581:0.695559:0.769570:0.695559:0.769570:0.679126:0.761581:0.679126:0.000000:0.000000
−−:@0.787490:0.682191:0.823439:0.682191:0.823439:0.665733:0.787490:0.665733:0.000000:0.000000
V:@0.769486:0.681475:0.779090:0.681475:0.779090:0.664184:0.769486:0.664184:0.000000
(2,64):@0.781107:0.681475:0.848465:0.681475:0.848465:0.664154:0.781107:0.664154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.849723:0.685473:0.852926:0.685473:0.852926:0.669040:0.849723:0.669040:0.000000
Segundo:@0.293660:0.722923:0.365005:0.722923:0.365005:0.705976:0.293660:0.705976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.364915:0.722923:0.368117:0.722923:0.368117:0.706489:0.364915:0.706489:0.000000
 graficar la parábola.:@0.368044:0.722923:0.512883:0.722923:0.512883:0.706489:0.368044:0.706489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los puntos   (2, 0) y  (–6, 0) cortan al eje  . Es :@0.293660:0.746706:0.639772:0.746706:0.639772:0.730273:0.293660:0.730273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.379018:0.746706:0.388903:0.746706:0.388903:0.730300:0.379018:0.730300:0.000000
 B:@0.442188:0.746706:0.455221:0.746706:0.455221:0.730300:0.442188:0.730300:0.000000:0.000000
x:@0.605023:0.746706:0.612477:0.746706:0.612477:0.730300:0.605023:0.730300:0.000000
decir, las soluciones de la ecuación cuadrática son: :@0.293660:0.763348:0.639536:0.763348:0.639536:0.746915:0.293660:0.746915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293660:0.779990:0.301115:0.779990:0.301115:0.763584:0.293660:0.763584:0.000000
 = 2 y   = – 6.:@0.300673:0.779990:0.390519:0.779990:0.390519:0.763556:0.300673:0.763556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.341703:0.779990:0.349158:0.779990:0.349158:0.763584:0.341703:0.763584:0.000000
Descartamos el valor negativo porque no satis-:@0.293642:0.807352:0.635722:0.807352:0.635722:0.790918:0.293642:0.790918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
face el problema, ya que el área no puede ser :@0.293642:0.823994:0.639704:0.823994:0.639704:0.807560:0.293642:0.807560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un valor negativo.:@0.293642:0.840636:0.423435:0.840636:0.423435:0.824202:0.293642:0.824202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293642:0.875140:0.356937:0.875140:0.356937:0.858706:0.293642:0.858706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El terreno para el jardín tiene un área de 4  2.:@0.293642:0.898924:0.621641:0.898924:0.621641:0.882490:0.293642:0.882490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.598705:0.898924:0.613320:0.898924:0.613320:0.882518:0.598705:0.882518:0.000000
10:@0.799174:0.754174:0.808973:0.754174:0.808973:0.745210:0.799174:0.745210:0.000000:0.000000
20:@0.799174:0.735573:0.808973:0.735573:0.808973:0.726609:0.799174:0.726609:0.000000:0.000000
0:@0.817477:0.779810:0.822377:0.779810:0.822377:0.770846:0.817477:0.770846:0.000000
0:@0.805870:0.767729:0.810770:0.767729:0.810770:0.758766:0.805870:0.758766:0.000000
1:@0.835218:0.779810:0.840118:0.779810:0.840118:0.770846:0.835218:0.770846:0.000000
2:@0.857990:0.779810:0.862889:0.779810:0.862889:0.770846:0.857990:0.770846:0.000000
3:@0.880711:0.779810:0.885611:0.779810:0.885611:0.770846:0.880711:0.770846:0.000000
x:@0.904266:0.781013:0.908573:0.781013:0.908573:0.772049:0.904266:0.772049:0.000000
y:@0.803871:0.728400:0.808288:0.728400:0.808288:0.719437:0.803871:0.719437:0.000000
-20:@0.797500:0.809945:0.810291:0.809945:0.810291:0.800982:0.797500:0.800982:0.000000:0.000000:0.000000
-10:@0.797500:0.791344:0.810291:0.791344:0.810291:0.782381:0.797500:0.782381:0.000000:0.000000:0.000000
-40:@0.797406:0.847227:0.810198:0.847227:0.810198:0.838263:0.797406:0.838263:0.000000:0.000000:0.000000
-30:@0.797406:0.828581:0.810198:0.828581:0.810198:0.819617:0.797406:0.819617:0.000000:0.000000:0.000000
-60:@0.797500:0.884865:0.810291:0.884865:0.810291:0.875901:0.797500:0.875901:0.000000:0.000000:0.000000
-50:@0.797500:0.866264:0.810291:0.866264:0.810291:0.857300:0.797500:0.857300:0.000000:0.000000:0.000000
-3:@0.742610:0.779811:0.750501:0.779811:0.750501:0.770847:0.742610:0.770847:0.000000:0.000000
-2:@0.765381:0.779811:0.773273:0.779811:0.773273:0.770847:0.765381:0.770847:0.000000:0.000000
-1:@0.788102:0.779811:0.795994:0.779811:0.795994:0.770847:0.788102:0.770847:0.000000:0.000000
-6:@0.674265:0.779811:0.682157:0.779811:0.682157:0.770847:0.674265:0.770847:0.000000:0.000000
-5:@0.697037:0.779811:0.704928:0.779811:0.704928:0.770847:0.697037:0.770847:0.000000:0.000000
-4:@0.719758:0.779811:0.727650:0.779811:0.727650:0.770847:0.719758:0.770847:0.000000:0.000000
B :@0.680922:0.766886:0.689757:0.766886:0.689757:0.754954:0.680922:0.754954:0.000000:0.000000
= (–6, 0):@0.689757:0.766886:0.732784:0.766886:0.732784:0.754934:0.689757:0.754934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.865169:0.768359:0.874540:0.768359:0.874540:0.756427:0.865169:0.756427:0.000000:0.000000
= (2, 0):@0.874312:0.768359:0.909051:0.768359:0.909051:0.756407:0.874312:0.756407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.121700:0.742738:0.130384:0.742738:0.130384:0.727117:0.121700:0.727117:0.000000
y:@0.209303:0.742738:0.218055:0.742738:0.218055:0.727117:0.209303:0.727117:0.000000
6:@0.121959:0.768275:0.130125:0.768275:0.130125:0.753335:0.121959:0.753335:0.000000
0:@0.209594:0.768275:0.217760:0.768275:0.217760:0.753335:0.209594:0.753335:0.000000
–2:@0.117775:0.792078:0.134309:0.792078:0.134309:0.777138:0.117775:0.777138:0.000000:0.000000
–64:@0.201328:0.792078:0.226027:0.792078:0.226027:0.777138:0.201328:0.777138:0.000000:0.000000:0.000000
0:@0.121959:0.815881:0.130125:0.815881:0.130125:0.800941:0.121959:0.800941:0.000000
–48:@0.201328:0.815881:0.226027:0.815881:0.226027:0.800941:0.201328:0.800941:0.000000:0.000000:0.000000
1:@0.121959:0.839633:0.130125:0.839633:0.130125:0.824694:0.121959:0.824694:0.000000
–28:@0.201495:0.839633:0.225860:0.839633:0.225860:0.824694:0.201495:0.824694:0.000000:0.000000:0.000000
2:@0.121959:0.864331:0.130125:0.864331:0.130125:0.849392:0.121959:0.849392:0.000000
0:@0.209594:0.864331:0.217760:0.864331:0.217760:0.849392:0.209594:0.849392:0.000000
En una ecuación :@0.079981:0.377156:0.193152:0.377156:0.193152:0.362216:0.079981:0.362216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática:  :@0.079981:0.392285:0.158647:0.392285:0.158647:0.377345:0.079981:0.377345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.079981:0.407414:0.095108:0.407414:0.095108:0.392499:0.079981:0.392499:0.000000:0.000000
2:@0.095055:0.401901:0.099815:0.401901:0.099815:0.393191:0.095055:0.393191:0.000000
 +   +   = 0.:@0.099773:0.407414:0.183877:0.407414:0.183877:0.392474:0.099773:0.392474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.116858:0.407414:0.131835:0.407414:0.131835:0.392499:0.116858:0.392499:0.000000:0.000000
c:@0.148870:0.407414:0.155831:0.407414:0.155831:0.392499:0.148870:0.392499:0.000000
ax :@0.079977:0.422542:0.098049:0.422542:0.098049:0.407628:0.079977:0.407628:0.000000:0.000000:0.000000
2 es el término :@0.097999:0.422542:0.195828:0.422542:0.195828:0.407603:0.097999:0.407603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrático.:@0.079977:0.437671:0.152530:0.437671:0.152530:0.422732:0.079977:0.422732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.079977:0.452800:0.094953:0.452800:0.094953:0.437886:0.079977:0.437886:0.000000:0.000000
 es el término lineal.:@0.094903:0.452800:0.225474:0.452800:0.225474:0.437861:0.094903:0.437861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.079977:0.467929:0.086938:0.467929:0.086938:0.453015:0.079977:0.453015:0.000000
 es el término :@0.086871:0.467929:0.179981:0.467929:0.179981:0.452989:0.086871:0.452989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independiente.:@0.079977:0.483058:0.180718:0.483058:0.180718:0.468118:0.079977:0.468118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: :@0.079977:0.498187:0.156278:0.498187:0.156278:0.483033:0.079977:0.483033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cuántos :@0.156183:0.498187:0.218878:0.498187:0.218878:0.483247:0.156183:0.483247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultados puede tener :@0.079977:0.513316:0.236778:0.513316:0.236778:0.498376:0.079977:0.498376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ecuación cuadrática?:@0.079977:0.528445:0.247792:0.528445:0.247792:0.513505:0.079977:0.513505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dependiendo de los :@0.079977:0.622421:0.218792:0.622421:0.218792:0.607481:0.079977:0.607481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores de las constantes :@0.079977:0.637550:0.247086:0.637550:0.247086:0.622610:0.079977:0.622610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.079977:0.652679:0.109763:0.652679:0.109763:0.637764:0.079977:0.637764:0.000000:0.000000:0.000000
 y  , las ecuaciones :@0.088327:0.652679:0.215235:0.652679:0.215235:0.637739:0.088327:0.637739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadráticas se clasifican en :@0.079960:0.667808:0.260066:0.667808:0.260066:0.652868:0.079960:0.652868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incompletas y completas.:@0.079960:0.682937:0.248262:0.682937:0.248262:0.667997:0.079960:0.667997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.079981:0.336449:0.188541:0.336449:0.188541:0.319502:0.079981:0.319502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.079981:0.353091:0.177457:0.353091:0.177457:0.336144:0.079981:0.336144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.079981:0.581708:0.188541:0.581708:0.188541:0.564761:0.079981:0.564761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.079981:0.598350:0.177457:0.598350:0.177457:0.581403:0.079981:0.581403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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