121:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método por completar el trinomio cuadrado perfecto:@0.073089:0.136836:0.477053:0.136836:0.477053:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen expresiones algebraicas que no pueden ser factorizadas fácilmente. En estos :@0.073089:0.164198:0.710657:0.164198:0.710657:0.147764:0.073089:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos, podemos encontrar las raíces completando trinomios cuadrados perfectos. Esto :@0.073089:0.180840:0.710085:0.180840:0.710085:0.164406:0.073089:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consiste en transformar ecuaciones cuadráticas de la forma   2 +   +   = 0 en un :@0.073089:0.197482:0.710403:0.197482:0.710403:0.181048:0.073089:0.181048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.534448:0.197482:0.551291:0.197482:0.551291:0.181076:0.534448:0.181076:0.000000:0.000000
bx:@0.578847:0.197482:0.595524:0.197482:0.595524:0.181076:0.578847:0.181076:0.000000:0.000000
c:@0.617649:0.197482:0.625306:0.197482:0.625306:0.181076:0.617649:0.181076:0.000000
trinomio cuadrado perfecto. Para ello, se verifica que el coeficiente de 2 sea uno (  = 1). :@0.073089:0.214124:0.710394:0.214124:0.710394:0.197690:0.073089:0.197690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x :@0.573748:0.214124:0.587553:0.214124:0.587553:0.197718:0.573748:0.197718:0.000000:0.000000:0.000000
a:@0.661790:0.214124:0.671048:0.214124:0.671048:0.197718:0.661790:0.197718:0.000000
Luego, se suma a los dos miembros de la ecuación la expresión: :@0.073089:0.253939:0.537752:0.253939:0.537752:0.237505:0.073089:0.237505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.546672:0.246565:0.556833:0.246565:0.562047:0.230852:0.551886:0.230852:0.000000
2:@0.549548:0.265949:0.558530:0.265949:0.558530:0.250236:0.549548:0.250236:0.000000
2:@0.568270:0.236873:0.573475:0.236873:0.573475:0.227767:0.568270:0.227767:0.000000
Ejemplo 3:@0.073089:0.284873:0.148872:0.284873:0.148872:0.268203:0.073089:0.268203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Resolver la ecuación 2 2 – 8  + 3 = 0 por el método de completar TCP.:@0.073089:0.311141:0.604049:0.311141:0.604049:0.294707:0.073089:0.294707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.261527:0.311141:0.268982:0.311141:0.268982:0.294734:0.261527:0.294734:0.000000
x:@0.300017:0.311141:0.307472:0.311141:0.307472:0.294734:0.300017:0.294734:0.000000
 :@0.073089:0.344070:0.077120:0.344070:0.077120:0.327636:0.073089:0.327636:0.000000
Dividimos toda la ecuación para 2: :@0.101546:0.344070:0.354223:0.344070:0.354223:0.327636:0.101546:0.327636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.375007:0.077120:0.375007:0.077120:0.358574:0.073089:0.358574:0.000000
Tomamos el coeficiente de  , dividimos por 2 y elevamos al cuadrado. :@0.101546:0.375007:0.609887:0.375007:0.609887:0.358574:0.101546:0.358574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.300605:0.375007:0.308060:0.375007:0.308060:0.358601:0.300605:0.358601:0.000000
 :@0.073089:0.395223:0.077120:0.395223:0.077120:0.378790:0.073089:0.378790:0.000000
4 ÷ 2 = 2;  22 = 4.:@0.101546:0.395223:0.221877:0.395223:0.221877:0.378790:0.101546:0.378790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.422587:0.077120:0.422587:0.077120:0.406153:0.073089:0.406153:0.000000
Sumamos el valor de 4 a los dos miembros de la ecuación::@0.101546:0.422587:0.523827:0.422587:0.523827:0.406153:0.101546:0.406153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.465495:0.077120:0.465495:0.077120:0.449061:0.073089:0.449061:0.000000
.:@0.252073:0.455409:0.255276:0.455409:0.255276:0.438975:0.252073:0.438975:0.000000
 :@0.073089:0.492858:0.077120:0.492858:0.077120:0.476424:0.073089:0.476424:0.000000
Factorizamos el trinomio cuadrado perfecto del primer miembro y reducimos :@0.101546:0.492858:0.710613:0.492858:0.710613:0.476424:0.101546:0.476424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos: :@0.101550:0.512174:0.173618:0.512174:0.173618:0.495740:0.101550:0.495740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.548269:0.077120:0.548269:0.077120:0.531835:0.073089:0.531835:0.000000
Sacamos la raíz cuadrada a los dos miembros de la ecuación: :@0.101546:0.548269:0.544512:0.548269:0.544512:0.531835:0.101546:0.531835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.587133:0.077120:0.587133:0.077120:0.570699:0.073089:0.570699:0.000000
Finalmente, obtenemos las soluciones: :@0.101546:0.587133:0.385386:0.587133:0.385386:0.570699:0.101546:0.570699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.614496:0.077120:0.614496:0.077120:0.598062:0.073089:0.598062:0.000000
b.  Hallar las raíces de la ecuación:  2 – 6  + 8 = 0.:@0.073089:0.631138:0.434466:0.631138:0.434466:0.614704:0.073089:0.614704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.326691:0.631138:0.337386:0.631138:0.337386:0.614732:0.326691:0.614732:0.000000:0.000000
x:@0.368439:0.631138:0.375894:0.631138:0.375894:0.614732:0.368439:0.614732:0.000000
 :@0.073089:0.654927:0.077120:0.654927:0.077120:0.638493:0.073089:0.638493:0.000000
Primero: :@0.101550:0.654927:0.169071:0.654927:0.169071:0.638257:0.101550:0.638257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se resta 8 en ambos lados de la igualdad.:@0.168975:0.654927:0.464555:0.654927:0.464555:0.638493:0.168975:0.638493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.675143:0.077120:0.675143:0.077120:0.658709:0.073089:0.658709:0.000000
En este caso, no se divide para a, porque a = 1.:@0.101546:0.675143:0.436905:0.675143:0.436905:0.658709:0.101546:0.658709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.101546:0.698932:0.109001:0.698932:0.109001:0.682526:0.101546:0.682526:0.000000
2 – 6  + 8 – 8 = 0 – 8 :@0.108938:0.698932:0.258820:0.698932:0.258820:0.682498:0.108938:0.682498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.140046:0.698932:0.147501:0.698932:0.147501:0.682526:0.140046:0.682526:0.000000
 :@0.314171:0.698932:0.318202:0.698932:0.318202:0.682498:0.314171:0.682498:0.000000
  2 – 6  = – 8:@0.374306:0.698932:0.465002:0.698932:0.465002:0.682498:0.374306:0.682498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.378248:0.698932:0.385703:0.698932:0.385703:0.682526:0.378248:0.682526:0.000000
x:@0.416738:0.698932:0.424193:0.698932:0.424193:0.682526:0.416738:0.682526:0.000000
 :@0.073089:0.734892:0.077120:0.734892:0.077120:0.718458:0.073089:0.718458:0.000000
Segundo::@0.101550:0.734892:0.174383:0.734892:0.174383:0.718222:0.101550:0.718222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se suma :@0.174277:0.734892:0.241647:0.734892:0.241647:0.718458:0.174277:0.718458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.254630:0.725755:0.263889:0.725755:0.263889:0.709349:0.254630:0.709349:0.000000
2:@0.254151:0.745143:0.263134:0.745143:0.263134:0.728709:0.254151:0.728709:0.000000
2:@0.278372:0.716339:0.283578:0.716339:0.283578:0.706815:0.278372:0.706815:0.000000
 en ambos lados; y se realiza la potencia. :@0.293304:0.734892:0.587860:0.734892:0.587860:0.718458:0.293304:0.718458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.771422:0.077120:0.771422:0.077120:0.754988:0.073089:0.754988:0.000000
x:@0.105629:0.773712:0.113083:0.773712:0.113083:0.758276:0.105629:0.758276:0.000000
2:@0.114728:0.766030:0.119933:0.766030:0.119933:0.756923:0.114728:0.756923:0.000000
6:@0.136743:0.773712:0.145726:0.773712:0.145726:0.757999:0.136743:0.757999:0.000000
x:@0.147364:0.773712:0.154819:0.773712:0.154819:0.758276:0.147364:0.758276:0.000000
+:@0.158390:0.774391:0.168496:0.774391:0.168496:0.758776:0.158390:0.758776:0.000000
6:@0.194266:0.764808:0.203249:0.764808:0.203249:0.749096:0.194266:0.749096:0.000000
2:@0.194266:0.784196:0.203249:0.784196:0.203249:0.768483:0.194266:0.768483:0.000000
2:@0.214713:0.755391:0.219919:0.755391:0.219919:0.746285:0.214713:0.746285:0.000000
=:@0.224544:0.774391:0.234650:0.774391:0.234650:0.758776:0.224544:0.758776:0.000000
8:@0.248127:0.773712:0.257110:0.773712:0.257110:0.757999:0.248127:0.757999:0.000000
+:@0.259521:0.774391:0.269627:0.774391:0.269627:0.758776:0.259521:0.758776:0.000000
6:@0.295400:0.764808:0.304383:0.764808:0.304383:0.749096:0.295400:0.749096:0.000000
2:@0.295400:0.784196:0.304383:0.784196:0.304383:0.768483:0.295400:0.768483:0.000000
2:@0.315848:0.755391:0.321053:0.755391:0.321053:0.746285:0.315848:0.746285:0.000000
x:@0.378248:0.771422:0.385703:0.771422:0.385703:0.755016:0.378248:0.755016:0.000000
2 – 6  + 9 = – 8 + 9 :@0.385629:0.771422:0.524418:0.771422:0.524418:0.754988:0.385629:0.754988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.416738:0.771422:0.424193:0.771422:0.424193:0.755016:0.416738:0.755016:0.000000
    2 – 6  + 9 = 1 :@0.555030:0.771422:0.675552:0.771422:0.675552:0.754988:0.555030:0.754988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.566876:0.771422:0.577570:0.771422:0.577570:0.755016:0.566876:0.755016:0.000000:0.000000
x:@0.608623:0.771422:0.616078:0.771422:0.616078:0.755016:0.608623:0.755016:0.000000
Tercero::@0.101546:0.805933:0.161020:0.805933:0.161020:0.789263:0.101546:0.789263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se factoriza: (  – 3)2 = 1 .:@0.160932:0.805933:0.335930:0.805933:0.335930:0.789499:0.160932:0.789499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.257754:0.805933:0.265209:0.805933:0.265209:0.789526:0.257754:0.789526:0.000000
 :@0.073089:0.834531:0.077120:0.834531:0.077120:0.818097:0.073089:0.818097:0.000000
Cuarto::@0.101550:0.834531:0.156924:0.834531:0.156924:0.817862:0.101550:0.817862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se obtiene la solución. :@0.156827:0.834531:0.325732:0.834531:0.325732:0.818097:0.156827:0.818097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.329564:0.835290:0.337019:0.835290:0.337019:0.819855:0.329564:0.819855:0.000000
3:@0.353147:0.835290:0.362130:0.835290:0.362130:0.819578:0.353147:0.819578:0.000000
= ±:@0.364486:0.835970:0.388600:0.835970:0.388600:0.820354:0.364486:0.820354:0.000000:0.000000:0.000000
1:@0.400509:0.835290:0.409492:0.835290:0.409492:0.819578:0.400509:0.819578:0.000000
   Entonces:  ₁ = 4 y   = 2.:@0.410747:0.834531:0.594997:0.834531:0.594997:0.818097:0.410747:0.818097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.496709:0.834531:0.504164:0.834531:0.504164:0.818125:0.496709:0.818125:0.000000
x:@0.551489:0.834531:0.558944:0.834531:0.558944:0.818125:0.551489:0.818125:0.000000
2:@0.558882:0.837704:0.564119:0.837704:0.564119:0.828123:0.558882:0.828123:0.000000
 :@0.073089:0.861894:0.077120:0.861894:0.077120:0.845461:0.073089:0.845461:0.000000
Quinto: :@0.101550:0.861894:0.162152:0.861894:0.162152:0.845225:0.101550:0.845225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se verifican las soluciones: :@0.162054:0.861894:0.353770:0.861894:0.353770:0.845461:0.162054:0.845461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.930154:0.077120:0.930154:0.077120:0.913720:0.073089:0.913720:0.000000
x:@0.109167:0.892055:0.115944:0.892055:0.115944:0.877141:0.109167:0.877141:0.000000
2 – 6  + 8 = 0:@0.115944:0.892055:0.202307:0.892055:0.202307:0.877115:0.115944:0.877115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.144592:0.892055:0.151370:0.892055:0.151370:0.877141:0.144592:0.877141:0.000000
(4)2 – 6(4) + 8 = 0:@0.109167:0.907184:0.222823:0.907184:0.222823:0.892244:0.109167:0.892244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 = 0:@0.109167:0.922313:0.142802:0.922313:0.142802:0.907373:0.109167:0.907373:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.265762:0.892055:0.272539:0.892055:0.272539:0.877141:0.265762:0.877141:0.000000
2 – 6  + 8 = 0:@0.272539:0.892055:0.358903:0.892055:0.358903:0.877115:0.272539:0.877115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.301188:0.892055:0.307965:0.892055:0.307965:0.877141:0.301188:0.877141:0.000000
(2)2 – 6(2) + 8 = 0:@0.265762:0.907184:0.379419:0.907184:0.379419:0.892244:0.265762:0.892244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 = 0:@0.265762:0.922313:0.299397:0.922313:0.299397:0.907373:0.265762:0.907373:0.000000:0.000000:0.000000:0.000000:0.000000
Las dos soluciones satisfacen :@0.428848:0.899108:0.642694:0.899108:0.642694:0.882674:0.428848:0.882674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la ecuación cuadrática. :@0.428848:0.915750:0.610252:0.915750:0.610252:0.899316:0.428848:0.899316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dr. Manuel, Wikimedia Commons:@0.884806:0.366341:0.884806:0.266339:0.872908:0.266339:0.872908:0.366341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
François Viète  :@0.742665:0.216166:0.839976:0.216166:0.839976:0.201226:0.742665:0.201226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1540-1603, Francia):@0.742668:0.231295:0.874441:0.231295:0.874441:0.216355:0.742668:0.216355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fue un matemático :@0.742665:0.386367:0.875334:0.386367:0.875334:0.371427:0.742665:0.371427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
francés que consideró las :@0.742665:0.401496:0.912825:0.401496:0.912825:0.386556:0.742665:0.386556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones cuadráticas de :@0.742665:0.416625:0.920077:0.416625:0.920077:0.401685:0.742665:0.401685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la manera general,  :@0.742665:0.431753:0.871114:0.431753:0.871114:0.416814:0.742665:0.416814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.742665:0.446882:0.760737:0.446882:0.760737:0.431968:0.742665:0.431968:0.000000:0.000000:0.000000
2 +   +   = 0, donde :@0.760687:0.446882:0.900633:0.446882:0.900633:0.431943:0.760687:0.431943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.782492:0.446882:0.797468:0.446882:0.797468:0.431968:0.782492:0.431968:0.000000:0.000000
c:@0.814503:0.446882:0.821465:0.446882:0.821465:0.431968:0.814503:0.431968:0.000000
a b c:@0.742665:0.462011:0.787227:0.462011:0.787227:0.447097:0.742665:0.447097:0.000000:0.000000:0.000000:0.000000:0.000000
,   y   son cantidades :@0.751015:0.462011:0.894188:0.462011:0.894188:0.447072:0.751015:0.447072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocidas. Gracias a :@0.742648:0.477140:0.878604:0.477140:0.878604:0.462200:0.742648:0.462200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esto, es posible escribir la :@0.742648:0.492269:0.912410:0.492269:0.912410:0.477329:0.742648:0.477329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula cuadrática para :@0.742648:0.507398:0.902659:0.507398:0.902659:0.492458:0.742648:0.492458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver ecuaciones de :@0.742648:0.522527:0.896754:0.522527:0.896754:0.507587:0.742648:0.507587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este tipo.:@0.742648:0.537656:0.802659:0.537656:0.802659:0.522716:0.742648:0.522716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga :@0.742648:0.552785:0.794168:0.552785:0.794168:0.537631:0.742648:0.537631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre François :@0.794071:0.552785:0.892605:0.552785:0.892605:0.537845:0.794071:0.537845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Viète y :@0.742648:0.567914:0.790025:0.567914:0.790025:0.552974:0.742648:0.552974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elabora:@0.789921:0.567914:0.842076:0.567914:0.842076:0.552760:0.789921:0.552760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una ficha :@0.841980:0.567914:0.909736:0.567914:0.909736:0.552974:0.841980:0.552974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bibliográfica.:@0.742648:0.583043:0.827047:0.583043:0.827047:0.568103:0.742648:0.568103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la actualidad, muchas :@0.740272:0.660171:0.906625:0.660171:0.906625:0.645232:0.740272:0.645232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunidades indígenas :@0.740272:0.675300:0.902942:0.675300:0.902942:0.660361:0.740272:0.660361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recrean sus prácticas :@0.740272:0.690429:0.880433:0.690429:0.880433:0.675490:0.740272:0.675490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas ancestrales que :@0.740272:0.705558:0.920896:0.705558:0.920896:0.690618:0.740272:0.690618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten conocer, no solo :@0.740272:0.720687:0.917440:0.720687:0.917440:0.705747:0.740272:0.705747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus aspectos sociopolíticos :@0.740272:0.735816:0.921401:0.735816:0.921401:0.720876:0.740272:0.720876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y socioculturales, :@0.740272:0.750945:0.855947:0.750945:0.855947:0.736005:0.740272:0.736005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sino también sus :@0.740272:0.766074:0.855535:0.766074:0.855535:0.751134:0.740272:0.751134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimientos de ciencia.:@0.740272:0.781203:0.912423:0.781203:0.912423:0.766263:0.740272:0.766263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga responde: :@0.740272:0.796332:0.875244:0.796332:0.875244:0.781178:0.740272:0.781178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.788231:0.796332:0.802790:0.796332:0.802790:0.781392:0.788231:0.781392:0.000000:0.000000:0.000000
¿qué :@0.875147:0.796332:0.911058:0.796332:0.911058:0.781392:0.875147:0.781392:0.000000:0.000000:0.000000:0.000000:0.000000
aspectos caracterizan a las :@0.740289:0.811461:0.917502:0.811461:0.917502:0.796521:0.740289:0.796521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunidades indígenas?:@0.740289:0.826590:0.905603:0.826590:0.905603:0.811650:0.740289:0.811650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.744504:0.632288:0.875853:0.632288:0.875853:0.615341:0.744504:0.615341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dr. Manuel, Wikimedia Commons:@0.889970:0.366341:0.889970:0.266339:0.878072:0.266339:0.878072:0.366341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.743102:0.146594:0.895487:0.146594:0.895487:0.131188:0.743102:0.131188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.743102:0.161723:0.828595:0.161723:0.828595:0.146783:0.743102:0.146783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e historia:@0.743102:0.176852:0.803098:0.176852:0.803098:0.161912:0.743102:0.161912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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