120:@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
6.2 Solución de la ecuación cuadrática por el método de factorización:@0.294284:0.135050:0.837852:0.135050:0.837852:0.118103:0.294284:0.118103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen muchos problemas sobre movimiento de objetos que se solucionan por medio :@0.294284:0.162412:0.931418:0.162412:0.931418:0.145978:0.294284:0.145978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una ecuación cuadrática. :@0.294284:0.179054:0.501789:0.179054:0.501789:0.162620:0.294284:0.162620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, se lanza desde una ventana de un dormitorio ubicado a 4   de altura una :@0.294284:0.204904:0.931028:0.204904:0.931028:0.188470:0.294284:0.188470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.812209:0.204904:0.826825:0.204904:0.826825:0.188498:0.812209:0.188498:0.000000
pelota con una velocidad cuya componente vertical inicial es de -3  / . La altura  , en :@0.294284:0.220034:0.930934:0.220034:0.930934:0.203600:0.294284:0.203600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.791114:0.220034:0.818541:0.220034:0.818541:0.203628:0.791114:0.203628:0.000000:0.000000:0.000000
y:@0.893035:0.220034:0.900509:0.220034:0.900509:0.203628:0.893035:0.203628:0.000000
metros, en función del tiempo  , en segundos, está dada por   = –  2 – 3  + 4. ¿Cuál es el :@0.294284:0.235164:0.931021:0.235164:0.931021:0.218730:0.294284:0.218730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.517546:0.235164:0.522921:0.235164:0.522921:0.218758:0.517546:0.218758:0.000000
y:@0.733353:0.235164:0.740826:0.235164:0.740826:0.218758:0.733353:0.218758:0.000000
t :@0.772413:0.235164:0.781027:0.235164:0.781027:0.218758:0.772413:0.218758:0.000000:0.000000
t:@0.811896:0.235164:0.817271:0.235164:0.817271:0.218758:0.811896:0.218758:0.000000
tiempo de caída de la pelota?:@0.294266:0.250294:0.508618:0.250294:0.508618:0.233861:0.294266:0.233861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.294266:0.279723:0.360399:0.279723:0.360399:0.263053:0.294266:0.263053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación que tenemos que resolver es:   = –  2 – 3  + 4; como la pelota golpea el :@0.294266:0.305573:0.930761:0.305573:0.930761:0.289139:0.294266:0.289139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.612362:0.305573:0.619835:0.305573:0.619835:0.289167:0.612362:0.289167:0.000000
t :@0.654625:0.305573:0.663368:0.305573:0.663368:0.289167:0.654625:0.289167:0.000000:0.000000
t:@0.697274:0.305573:0.702649:0.305573:0.702649:0.289167:0.697274:0.289167:0.000000
suelo, entonces   = 0.:@0.294266:0.320703:0.449531:0.320703:0.449531:0.304269:0.294266:0.304269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.411207:0.320703:0.418681:0.320703:0.418681:0.304297:0.411207:0.304297:0.000000
Para encontrar la solución del problema de la pelota, se procede así::@0.294266:0.346554:0.785287:0.346554:0.785287:0.330120:0.294266:0.330120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Igualamos a cero la ecuación cuadrática: 0 = – 2 – 3  + 4.:@0.294266:0.372404:0.706312:0.372404:0.706312:0.355970:0.294266:0.355970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 t :@0.627179:0.372404:0.639034:0.372404:0.639034:0.355998:0.627179:0.355998:0.000000:0.000000:0.000000
t:@0.670087:0.372404:0.675462:0.372404:0.675462:0.355998:0.670087:0.355998:0.000000
Multiplicamos por (–1) toda la ecuación:  2 + 3  – 4 = 0.:@0.294247:0.398254:0.692065:0.398254:0.692065:0.381820:0.294247:0.381820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.588451:0.398254:0.597065:0.398254:0.597065:0.381848:0.588451:0.381848:0.000000:0.000000
t:@0.629885:0.398254:0.635260:0.398254:0.635260:0.381848:0.629885:0.381848:0.000000
Factorizamos el primer miembro de la ecuación como un trinomio de la forma: :@0.294247:0.424105:0.931304:0.424105:0.931304:0.407671:0.294247:0.407671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.926868:0.424105:0.930899:0.424105:0.930899:0.407671:0.926868:0.407671:0.000000
x :@0.294247:0.439235:0.304942:0.439235:0.304942:0.422829:0.294247:0.422829:0.000000:0.000000
2 +   + :@0.304887:0.439235:0.364177:0.439235:0.364177:0.422801:0.304887:0.422801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.328872:0.439235:0.345346:0.439235:0.345346:0.422829:0.328872:0.422829:0.000000:0.000000
c  :@0.364085:0.439235:0.378369:0.439235:0.378369:0.422829:0.364085:0.422829:0.000000:0.000000:0.000000
(  + 4)(  – 1) = 0 igualamos cada factor a cero: + 4 = 0 y   – 1 = 0.:@0.294266:0.465085:0.761479:0.465085:0.761479:0.448651:0.294266:0.448651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.299070:0.465085:0.304445:0.465085:0.304445:0.448679:0.299070:0.448679:0.000000
t:@0.341665:0.465085:0.347039:0.465085:0.347039:0.448679:0.341665:0.448679:0.000000
 t :@0.620148:0.465085:0.632002:0.465085:0.632002:0.448679:0.620148:0.448679:0.000000:0.000000:0.000000
t:@0.699299:0.465085:0.704674:0.465085:0.704674:0.448679:0.699299:0.448679:0.000000
Despejamos el valor de t en cada ecuación:  = –4 y  = 1.:@0.294247:0.490935:0.704011:0.490935:0.704011:0.474502:0.294247:0.474502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.611128:0.490935:0.619743:0.490935:0.619743:0.474529:0.611128:0.474529:0.000000:0.000000
 t:@0.664528:0.490935:0.673142:0.490935:0.673142:0.474529:0.664528:0.474529:0.000000:0.000000
Por sustitución, en la ecuación general podemos ver que   = –4 y  = 1 satisfacen la :@0.294247:0.516786:0.930908:0.516786:0.930908:0.500352:0.294247:0.500352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.729947:0.516786:0.735322:0.516786:0.735322:0.500380:0.729947:0.500380:0.000000
 t:@0.789679:0.516786:0.799655:0.516786:0.799655:0.500380:0.789679:0.500380:0.000000:0.000000
ecuación, pero en este problema la solución es t = 1 s, ya que no existen tiempos negativos.:@0.294247:0.531916:0.926461:0.531916:0.926461:0.515482:0.294247:0.515482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El tiempo de caída de la pelota es de 1  . :@0.294247:0.557766:0.590236:0.557766:0.590236:0.541332:0.294247:0.541332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.576707:0.557766:0.583076:0.557766:0.583076:0.541360:0.576707:0.541360:0.000000
Ejemplos de ecuaciones cuadráticas que se resuelve por factorización.:@0.294229:0.583617:0.801156:0.583617:0.801156:0.567183:0.294229:0.567183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ax ² + bx + c = 0:@0.335537:0.621361:0.463383:0.621361:0.463383:0.605740:0.335537:0.605740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ax ² + bx = 0 :@0.558291:0.621361:0.665505:0.621361:0.665505:0.605740:0.558291:0.605740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ax ² + c = 0; b = 0:@0.752735:0.621361:0.889183:0.621361:0.889183:0.605740:0.752735:0.605740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.308309:0.648685:0.326298:0.648685:0.326298:0.633770:0.308309:0.633770:0.000000:0.000000:0.000000
(  + 5) = 24:@0.315086:0.648685:0.389836:0.648685:0.389836:0.633745:0.315086:0.633745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.308309:0.667596:0.318098:0.667596:0.318098:0.652681:0.308309:0.652681:0.000000:0.000000
² + 5  – 24 = 0:@0.318098:0.667596:0.412628:0.667596:0.412628:0.652656:0.318098:0.652656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.348353:0.667596:0.355130:0.667596:0.355130:0.652681:0.348353:0.652681:0.000000
(  + 8)(  – 3)= 0:@0.308309:0.686507:0.410737:0.686507:0.410737:0.671567:0.308309:0.671567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.312743:0.686507:0.319521:0.686507:0.319521:0.671593:0.312743:0.671593:0.000000
x:@0.353859:0.686507:0.360636:0.686507:0.360636:0.671593:0.353859:0.671593:0.000000
(  + 8) = 0 y:@0.308309:0.705418:0.385921:0.705418:0.385921:0.690479:0.308309:0.690479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.312743:0.705418:0.319521:0.705418:0.319521:0.690504:0.312743:0.690504:0.000000
(  – 3) = 0:@0.308309:0.724330:0.373287:0.724330:0.373287:0.709390:0.308309:0.709390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.312743:0.724330:0.319521:0.724330:0.319521:0.709415:0.312743:0.709415:0.000000
x:@0.308309:0.743241:0.315086:0.743241:0.315086:0.728326:0.308309:0.728326:0.000000
1:@0.315086:0.746125:0.319847:0.746125:0.319847:0.737415:0.315086:0.737415:0.000000
 = –8 y  = 3.:@0.319847:0.743241:0.407640:0.743241:0.407640:0.728301:0.319847:0.728301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  :@0.368375:0.743241:0.382924:0.743241:0.382924:0.728326:0.368375:0.728326:0.000000:0.000000:0.000000
2:@0.375151:0.746125:0.379911:0.746125:0.379911:0.737415:0.375151:0.737415:0.000000
c :@0.519054:0.648685:0.529027:0.648685:0.529027:0.633770:0.519054:0.633770:0.000000:0.000000
= 0:@0.529027:0.648685:0.550831:0.648685:0.550831:0.633745:0.529027:0.633745:0.000000:0.000000:0.000000
5x ² + 2  = 0:@0.519054:0.667596:0.600564:0.667596:0.600564:0.652656:0.519054:0.652656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.568318:0.667596:0.575095:0.667596:0.575095:0.652681:0.568318:0.652681:0.000000
x :@0.519054:0.686507:0.528843:0.686507:0.528843:0.671593:0.519054:0.671593:0.000000:0.000000
(5x + 2) = 0:@0.528843:0.686507:0.603995:0.686507:0.603995:0.671567:0.528843:0.671567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.519054:0.705418:0.525831:0.705418:0.525831:0.690504:0.519054:0.690504:0.000000
1:@0.525834:0.708302:0.530595:0.708302:0.530595:0.699592:0.525834:0.699592:0.000000
 = 0:@0.530595:0.705418:0.556064:0.705418:0.556064:0.690479:0.530595:0.690479:0.000000:0.000000:0.000000:0.000000
5x + 2 = 0;:@0.519065:0.724330:0.588260:0.724330:0.588260:0.709390:0.519065:0.709390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  = –2:@0.519065:0.743241:0.567845:0.743241:0.567845:0.728301:0.519065:0.728301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.527231:0.743241:0.534009:0.743241:0.534009:0.728326:0.527231:0.728326:0.000000
4 ² = 25:@0.729807:0.648685:0.785179:0.648685:0.785179:0.633745:0.729807:0.633745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.737805:0.648685:0.747595:0.648685:0.747595:0.633770:0.737805:0.633770:0.000000:0.000000
4 ² – 25 = 0:@0.729807:0.667596:0.808372:0.667596:0.808372:0.652656:0.729807:0.652656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.737805:0.667596:0.747595:0.667596:0.747595:0.652681:0.737805:0.652681:0.000000:0.000000
(2 + 5)(2  – 5) = 0:@0.729807:0.686507:0.848902:0.686507:0.848902:0.671567:0.729807:0.671567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.742073:0.686507:0.751862:0.686507:0.751862:0.671593:0.742073:0.671593:0.000000:0.000000
x:@0.789697:0.686507:0.796474:0.686507:0.796474:0.671593:0.789697:0.671593:0.000000
2  + 5 = 0:@0.729807:0.705418:0.794349:0.705418:0.794349:0.690479:0.729807:0.690479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.737805:0.705418:0.744583:0.705418:0.744583:0.690504:0.737805:0.690504:0.000000
2  – 5 = 0:@0.729807:0.724330:0.792743:0.724330:0.792743:0.709390:0.729807:0.709390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.737805:0.724330:0.744583:0.724330:0.744583:0.709415:0.737805:0.709415:0.000000
Las soluciones  :@0.308309:0.807065:0.411405:0.807065:0.411405:0.792125:0.308309:0.792125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación  :@0.308307:0.825976:0.412225:0.825976:0.412225:0.811036:0.308307:0.811036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son:   = – 8 y   = 3:@0.308307:0.844887:0.439735:0.844887:0.439735:0.829947:0.308307:0.829947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.338997:0.844887:0.345774:0.844887:0.345774:0.829972:0.338997:0.829972:0.000000
1:@0.345774:0.847771:0.350535:0.847771:0.350535:0.839061:0.345774:0.839061:0.000000
x:@0.402728:0.844887:0.409505:0.844887:0.409505:0.829972:0.402728:0.829972:0.000000
2:@0.409505:0.847771:0.414266:0.847771:0.414266:0.839061:0.409505:0.839061:0.000000
Las soluciones  :@0.519054:0.807065:0.622151:0.807065:0.622151:0.792125:0.519054:0.792125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación  :@0.519054:0.825976:0.622971:0.825976:0.622971:0.811036:0.519054:0.811036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son:  = 0 y :@0.519054:0.844887:0.600794:0.844887:0.600794:0.829947:0.519054:0.829947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.546079:0.844887:0.555868:0.844887:0.555868:0.829972:0.546079:0.829972:0.000000:0.000000
1:@0.555871:0.847771:0.560632:0.847771:0.560632:0.839061:0.555871:0.839061:0.000000
Las soluciones  :@0.729807:0.807065:0.830392:0.807065:0.830392:0.792125:0.729807:0.792125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación son::@0.729805:0.825976:0.854071:0.825976:0.854071:0.811036:0.729805:0.811036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.844124:0.844887:0.847136:0.844887:0.847136:0.829972:0.844124:0.829972:0.000000
o puede :@0.847136:0.846148:0.905822:0.846148:0.905822:0.831208:0.847136:0.831208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribirse como :@0.729815:0.868841:0.836006:0.868841:0.836006:0.853901:0.729815:0.853901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial Maya:@0.066527:0.373061:0.066527:0.306093:0.054629:0.306093:0.054629:0.373061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ubicación del lanzamiento.:@0.073086:0.389433:0.234040:0.389433:0.234040:0.375987:0.073086:0.375987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al obtener la solución de :@0.078581:0.488783:0.246750:0.488783:0.246750:0.473843:0.078581:0.473843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ecuación, siempre :@0.078581:0.503912:0.231145:0.503912:0.231145:0.488972:0.078581:0.488972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debes verificar que :@0.078581:0.519041:0.207236:0.519041:0.207236:0.504101:0.078581:0.504101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efectivamente es la :@0.078581:0.534170:0.209671:0.534170:0.209671:0.519230:0.078581:0.519230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución.:@0.078581:0.549299:0.137367:0.549299:0.137367:0.534359:0.078581:0.534359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No todas las soluciones :@0.078581:0.564428:0.236408:0.564428:0.236408:0.549488:0.078581:0.549488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una ecuación cumplen :@0.078581:0.579557:0.255257:0.579557:0.255257:0.564617:0.078581:0.564617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con las condiciones del :@0.078581:0.594686:0.236381:0.594686:0.236381:0.579746:0.078581:0.579746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema, como sucede en :@0.078581:0.609815:0.259999:0.609815:0.259999:0.594875:0.078581:0.594875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el caso de la pelota.:@0.078581:0.624944:0.207616:0.624944:0.207616:0.610004:0.078581:0.610004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.448075:0.187141:0.448075:0.187141:0.431128:0.078581:0.431128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.464717:0.176057:0.464717:0.176057:0.447770:0.078581:0.447770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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