184:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.59.:@0.096359:0.948145:0.142269:0.948145:0.142269:0.937390:0.096359:0.937390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolver la ecuación de segundo grado con una incógnita de manera analítica (por factoreo, completación de cuadrados, en la solución de problemas).:@0.142269:0.948145:0.849933:0.948145:0.849933:0.938174:0.142269:0.938174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución de la ecuación cuadrática  :@0.305303:0.070161:0.816677:0.070161:0.816677:0.039433:0.305303:0.039433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el método de factorización:@0.305303:0.099079:0.748632:0.099079:0.748632:0.068351:0.305303:0.068351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen muchos problemas sobre movimiento de objetos que se solucionan por :@0.304744:0.207130:0.907740:0.207130:0.907740:0.191461:0.304744:0.191461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio de una ecuación cuadrática. :@0.304744:0.223727:0.566213:0.223727:0.566213:0.208057:0.304744:0.208057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, se lanza desde una ventana de un dormitorio, ubicado a 4   de altura, :@0.304744:0.245938:0.907657:0.245938:0.907657:0.230268:0.304744:0.230268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.818744:0.245938:0.833375:0.245938:0.833375:0.229577:0.818744:0.229577:0.000000
una pelota con una velocidad inicial de 3  / . La altura  , en metros, en función del :@0.304744:0.261027:0.907772:0.261027:0.907772:0.245357:0.304744:0.245357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.604801:0.261027:0.632277:0.261027:0.632277:0.244666:0.604801:0.244666:0.000000:0.000000:0.000000
y:@0.704163:0.261027:0.711644:0.261027:0.711644:0.244666:0.704163:0.244666:0.000000
tiempo  , en segundos, está dada por   = –  2 – 3  + 4. ¿Cuál es el tiempo de caída :@0.304744:0.276116:0.907676:0.276116:0.907676:0.260446:0.304744:0.260446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.362422:0.276116:0.367803:0.276116:0.367803:0.259755:0.362422:0.259755:0.000000
y:@0.581914:0.276116:0.589395:0.276116:0.589395:0.259755:0.581914:0.259755:0.000000
t :@0.621994:0.276116:0.630692:0.276116:0.630692:0.259755:0.621994:0.259755:0.000000:0.000000
t:@0.662535:0.276116:0.667916:0.276116:0.667916:0.259755:0.662535:0.259755:0.000000
de la pelota?:@0.304744:0.291205:0.397951:0.291205:0.397951:0.275535:0.304744:0.275535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.304744:0.313107:0.365404:0.313107:0.365404:0.297994:0.304744:0.297994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación que tenemos que resolver es:   = –  2 – 3  + 4; como la pelota golpea :@0.304744:0.335636:0.907714:0.335636:0.907714:0.319967:0.304744:0.319967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.616318:0.335636:0.623800:0.335636:0.623800:0.319275:0.616318:0.319275:0.000000
t :@0.656435:0.335636:0.665133:0.335636:0.665133:0.319275:0.656435:0.319275:0.000000:0.000000
t:@0.696958:0.335636:0.702338:0.335636:0.702338:0.319275:0.696958:0.319275:0.000000
el suelo, entonces   = 0.:@0.304744:0.350725:0.478717:0.350725:0.478717:0.335056:0.304744:0.335056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.439982:0.350725:0.447464:0.350725:0.447464:0.334364:0.439982:0.334364:0.000000
Para encontrar la solución del problema de la pelota, se procede así::@0.304744:0.372937:0.801343:0.372937:0.801343:0.357267:0.304744:0.357267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Igualamos a cero la ecuación cuadrática: 0 = – 2 – 3  + 4:@0.304744:0.395148:0.718737:0.395148:0.718737:0.379479:0.304744:0.379479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 t :@0.641746:0.395148:0.653761:0.395148:0.653761:0.378787:0.641746:0.378787:0.000000:0.000000:0.000000
t:@0.685309:0.395148:0.690690:0.395148:0.690690:0.378787:0.685309:0.378787:0.000000
Multiplicamos por (–1) toda la ecuación:  2 + 3  – 4 = 0:@0.304744:0.417360:0.704308:0.417360:0.704308:0.401690:0.304744:0.401690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.602588:0.417360:0.611286:0.417360:0.611286:0.400999:0.602588:0.400999:0.000000:0.000000
t:@0.644603:0.417360:0.649984:0.417360:0.649984:0.400999:0.644603:0.400999:0.000000
Factorizamos el primer miembro de la ecuación como un trinomio de la forma: :@0.304744:0.439571:0.907727:0.439571:0.907727:0.423902:0.304744:0.423902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903642:0.439571:0.907678:0.439571:0.907678:0.423902:0.903642:0.423902:0.000000
x :@0.304744:0.454660:0.315524:0.454660:0.315524:0.438299:0.304744:0.438299:0.000000:0.000000
2 +   + :@0.315524:0.454660:0.375469:0.454660:0.375469:0.438990:0.315524:0.438990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.339848:0.454660:0.356415:0.454660:0.356415:0.438299:0.339848:0.438299:0.000000:0.000000
c  :@0.375469:0.454660:0.389769:0.454660:0.389769:0.438299:0.375469:0.438299:0.000000:0.000000:0.000000
(  + 4)(  – 1) = 0 igualamos cada factor a cero: + 4 = 0 y   – 1 = 0:@0.304744:0.476872:0.774790:0.476872:0.774790:0.461202:0.304744:0.461202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.309627:0.476872:0.315008:0.476872:0.315008:0.460510:0.309627:0.460510:0.000000
t:@0.352821:0.476872:0.358202:0.476872:0.358202:0.460510:0.352821:0.460510:0.000000
 t :@0.634832:0.476872:0.646847:0.476872:0.646847:0.460510:0.634832:0.460510:0.000000:0.000000:0.000000
t:@0.715085:0.476872:0.720466:0.476872:0.720466:0.460510:0.715085:0.460510:0.000000
Despejamos el valor de t en cada ecuación:  = –4 y  = 1:@0.304744:0.499083:0.716270:0.499083:0.716270:0.483413:0.304744:0.483413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.625458:0.499083:0.634156:0.499083:0.634156:0.482722:0.625458:0.482722:0.000000:0.000000
 t:@0.679525:0.499083:0.688223:0.499083:0.688223:0.482722:0.679525:0.482722:0.000000:0.000000
Por sustitución, en la ecuación general podemos ver que   = –4 y  = 1 satisfacen la :@0.304744:0.521295:0.907641:0.521295:0.907641:0.505625:0.304744:0.505625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.719697:0.521295:0.725078:0.521295:0.725078:0.504933:0.719697:0.504933:0.000000
 t:@0.774999:0.521295:0.784047:0.521295:0.784047:0.504933:0.774999:0.504933:0.000000:0.000000
ecuación, pero en este problema la solución es t = 1 s, ya que no existen tiempos :@0.304744:0.536383:0.907788:0.536383:0.907788:0.520714:0.304744:0.520714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativos.:@0.304744:0.551472:0.377717:0.551472:0.377717:0.535803:0.304744:0.535803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El tiempo de caída de la pelota es de 1  . :@0.304744:0.573684:0.604432:0.573684:0.604432:0.558014:0.304744:0.558014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.590814:0.573684:0.597190:0.573684:0.597190:0.557323:0.590814:0.557323:0.000000
Ejemplos de ecuaciones cuadráticas que se resuelve por factorización.:@0.304744:0.595895:0.817281:0.595895:0.817281:0.580226:0.304744:0.580226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.311175:0.166118:0.366679:0.166118:0.366679:0.149218:0.311175:0.149218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Cómo determinas el tiempo de caída de un objeto? :@0.366679:0.166118:0.763529:0.166118:0.763529:0.150449:0.366679:0.150449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139515:0.470369:0.139515:0.470369:0.122615:0.344861:0.122615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al obtener la solución :@0.105857:0.456257:0.254919:0.456257:0.254919:0.442012:0.105857:0.442012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una ecuación, :@0.105857:0.471345:0.223458:0.471345:0.223458:0.457099:0.105857:0.457099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre debes verificar :@0.105857:0.486432:0.263711:0.486432:0.263711:0.472187:0.105857:0.472187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que efectivamente es la :@0.105857:0.501520:0.268083:0.501520:0.268083:0.487275:0.105857:0.487275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución.:@0.105857:0.516607:0.165244:0.516607:0.165244:0.502362:0.105857:0.502362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No todas las soluciones :@0.105857:0.538824:0.265339:0.538824:0.265339:0.524579:0.105857:0.524579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una ecuación :@0.105857:0.553911:0.220543:0.553911:0.220543:0.539666:0.105857:0.539666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumplen con las :@0.105857:0.568999:0.219622:0.568999:0.219622:0.554754:0.105857:0.554754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones del :@0.105857:0.584087:0.215199:0.584087:0.215199:0.569841:0.105857:0.569841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema, como sucede :@0.105857:0.599174:0.268589:0.599174:0.268589:0.584929:0.105857:0.584929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el caso de la pelota.:@0.105857:0.614262:0.257147:0.614262:0.257147:0.600017:0.105857:0.600017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138428:0.431747:0.240296:0.431747:0.240296:0.414846:0.138428:0.414846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.312369:0.628413:0.327313:0.628413:0.327313:0.614168:0.312369:0.614168:0.000000:0.000000:0.000000
ax :@0.327313:0.628413:0.345539:0.628413:0.345539:0.613539:0.327313:0.613539:0.000000:0.000000:0.000000
² +   +   = 0:@0.345539:0.628413:0.432501:0.628413:0.432501:0.614168:0.345539:0.614168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.367652:0.628413:0.382713:0.628413:0.382713:0.613539:0.367652:0.613539:0.000000:0.000000
c:@0.400035:0.628413:0.407004:0.628413:0.407004:0.613539:0.400035:0.613539:0.000000
Si :@0.507116:0.628413:0.522059:0.628413:0.522059:0.614168:0.507116:0.614168:0.000000:0.000000:0.000000
ax :@0.522059:0.628413:0.540286:0.628413:0.540286:0.613539:0.522059:0.613539:0.000000:0.000000:0.000000
² +   = 0 :@0.540286:0.628413:0.606625:0.628413:0.606625:0.614168:0.540286:0.614168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.562399:0.628413:0.577459:0.628413:0.577459:0.613539:0.562399:0.613539:0.000000:0.000000
Si :@0.716052:0.628413:0.730660:0.628413:0.730660:0.614168:0.716052:0.614168:0.000000:0.000000:0.000000
ax :@0.730492:0.628413:0.748719:0.628413:0.748719:0.613539:0.730492:0.613539:0.000000:0.000000:0.000000
² +   = 0;   = 0:@0.748719:0.628413:0.841628:0.628413:0.841628:0.614168:0.748719:0.614168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.770162:0.628413:0.777131:0.628413:0.777131:0.613539:0.770162:0.613539:0.000000
b:@0.808207:0.628413:0.816633:0.628413:0.816633:0.613539:0.808207:0.613539:0.000000
x x:@0.312353:0.652100:0.330361:0.652100:0.330361:0.637227:0.312353:0.637227:0.000000:0.000000:0.000000
(  + 5) = 24:@0.319137:0.652100:0.393970:0.652100:0.393970:0.637855:0.319137:0.637855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.312353:0.670960:0.322153:0.670960:0.322153:0.656086:0.312353:0.656086:0.000000:0.000000
² + 5  – 24 = 0:@0.322153:0.670960:0.416787:0.670960:0.416787:0.656715:0.322153:0.656715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.352441:0.670960:0.359226:0.670960:0.359226:0.656086:0.352441:0.656086:0.000000
(  + 8)(  – 3)= 0:@0.312353:0.689819:0.414894:0.689819:0.414894:0.675574:0.312353:0.675574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.316792:0.689819:0.323577:0.689819:0.323577:0.674946:0.316792:0.674946:0.000000
x:@0.357953:0.689819:0.364737:0.689819:0.364737:0.674946:0.357953:0.674946:0.000000
(  + 8) = 0 y:@0.312353:0.708679:0.390050:0.708679:0.390050:0.694434:0.312353:0.694434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.316792:0.708679:0.323577:0.708679:0.323577:0.693805:0.316792:0.693805:0.000000
(  – 3) = 0:@0.312353:0.727538:0.377402:0.727538:0.377402:0.713293:0.312353:0.713293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.316792:0.727538:0.323577:0.727538:0.323577:0.712665:0.316792:0.712665:0.000000
x:@0.312353:0.746398:0.319137:0.746398:0.319137:0.731524:0.312353:0.731524:0.000000
1:@0.319154:0.749273:0.323920:0.749273:0.323920:0.740968:0.319154:0.740968:0.000000
 = –8 y  = 3:@0.323920:0.746397:0.408895:0.746397:0.408895:0.732152:0.323920:0.732152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  :@0.372502:0.746397:0.387067:0.746397:0.387067:0.731523:0.372502:0.731523:0.000000:0.000000:0.000000
2:@0.379285:0.749273:0.384051:0.749273:0.384051:0.740968:0.379285:0.740968:0.000000
c :@0.507114:0.652099:0.517099:0.652099:0.517099:0.637225:0.507114:0.637225:0.000000:0.000000
= 0:@0.517099:0.652099:0.538927:0.652099:0.538927:0.637854:0.517099:0.637854:0.000000:0.000000:0.000000
5x ² + 2  = 0:@0.507114:0.670959:0.588715:0.670959:0.588715:0.656713:0.507114:0.656713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.556433:0.670959:0.563218:0.670959:0.563218:0.656085:0.556433:0.656085:0.000000
x :@0.507114:0.689818:0.516914:0.689818:0.516914:0.674944:0.507114:0.674944:0.000000:0.000000
(5x + 2) = 0:@0.516914:0.689818:0.592149:0.689818:0.592149:0.675573:0.516914:0.675573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.507114:0.708678:0.513899:0.708678:0.513899:0.693804:0.507114:0.693804:0.000000
1:@0.513907:0.711554:0.518673:0.711554:0.518673:0.703249:0.513907:0.703249:0.000000
 = 0:@0.518673:0.708678:0.544171:0.708678:0.544171:0.694432:0.518673:0.694432:0.000000:0.000000:0.000000:0.000000
5x + 2 = 0;:@0.507131:0.727537:0.576402:0.727537:0.576402:0.713292:0.507131:0.713292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  = –2:@0.507131:0.746397:0.555964:0.746397:0.555964:0.732152:0.507131:0.732152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.515306:0.746397:0.522091:0.746397:0.522091:0.731523:0.515306:0.731523:0.000000
x:@0.507000:0.767372:0.513785:0.767372:0.518145:0.752498:0.511360:0.752498:0.000000
–:@0.537919:0.767372:0.546295:0.767372:0.546295:0.753127:0.537919:0.753127:0.000000
2:@0.548860:0.759553:0.557035:0.759553:0.557035:0.745308:0.548860:0.745308:0.000000
5:@0.549010:0.777394:0.557186:0.777394:0.557186:0.763149:0.549010:0.763149:0.000000
2:@0.516559:0.769189:0.521286:0.769189:0.521286:0.760954:0.516559:0.760954:0.000000
=:@0.525825:0.767988:0.535022:0.767988:0.535022:0.753831:0.525825:0.753831:0.000000
4 ² = 25:@0.716065:0.652103:0.771499:0.652103:0.771499:0.637858:0.716065:0.637858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.724073:0.652103:0.733873:0.652103:0.733873:0.637229:0.724073:0.637229:0.000000:0.000000
4 ² – 25 = 0:@0.716065:0.670962:0.794718:0.670962:0.794718:0.656717:0.716065:0.656717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.724073:0.670962:0.733873:0.670962:0.733873:0.656089:0.724073:0.656089:0.000000:0.000000
(2 + 5)(2  – 5) = 0:@0.716065:0.689822:0.835292:0.689822:0.835292:0.675577:0.716065:0.675577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.728345:0.689822:0.738145:0.689822:0.738145:0.674948:0.728345:0.674948:0.000000:0.000000
x:@0.776022:0.689822:0.782807:0.689822:0.782807:0.674948:0.776022:0.674948:0.000000
2  + 5 = 0:@0.716065:0.708681:0.780679:0.708681:0.780679:0.694436:0.716065:0.694436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.724073:0.708681:0.730858:0.708681:0.730858:0.693808:0.724073:0.693808:0.000000
2  – 5 = 0:@0.716065:0.727541:0.779071:0.727541:0.779071:0.713296:0.716065:0.713296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.724073:0.727541:0.730858:0.727541:0.730858:0.712667:0.724073:0.712667:0.000000
x:@0.718570:0.750395:0.724762:0.750395:0.728741:0.736819:0.722549:0.736819:0.000000
y x:@0.766870:0.750395:0.790645:0.750395:0.794624:0.736819:0.770849:0.736819:0.000000:0.000000:0.000000
–:@0.746501:0.750395:0.754146:0.750395:0.754146:0.737393:0.746501:0.737393:0.000000
5:@0.756623:0.743257:0.764084:0.743257:0.764084:0.730256:0.756623:0.730256:0.000000
2:@0.756485:0.759540:0.763946:0.759540:0.763946:0.746539:0.756485:0.746539:0.000000
...:@0.776545:0.750395:0.784282:0.750395:0.784282:0.737393:0.776545:0.737393:0.000000:0.000000:0.000000
5:@0.813668:0.743257:0.821129:0.743257:0.821129:0.730256:0.813668:0.730256:0.000000
2:@0.813531:0.759540:0.820992:0.759540:0.820992:0.746539:0.813531:0.746539:0.000000
1:@0.739001:0.752053:0.743315:0.752053:0.743315:0.744537:0.739001:0.744537:0.000000
2:@0.793185:0.752053:0.797499:0.752053:0.797499:0.744537:0.793185:0.744537:0.000000
=:@0.731069:0.750957:0.668886:0.750957:0.668886:0.738036:0.731069:0.738036:0.000000
=:@0.801645:0.750957:0.739463:0.750957:0.739463:0.738036:0.801645:0.738036:0.000000
Las soluciones  :@0.312369:0.799633:0.415581:0.799633:0.415581:0.785388:0.312369:0.785388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación  :@0.312369:0.818493:0.416402:0.818493:0.416402:0.804248:0.312369:0.804248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son:   = – 8 y   = 3:@0.312369:0.837352:0.443941:0.837352:0.443941:0.823107:0.312369:0.823107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.343093:0.837352:0.349878:0.837352:0.349878:0.822479:0.343093:0.822479:0.000000
1:@0.349878:0.840228:0.354644:0.840228:0.354644:0.831924:0.349878:0.831924:0.000000
x:@0.406895:0.837352:0.413680:0.837352:0.413680:0.822479:0.406895:0.822479:0.000000
2:@0.413678:0.840228:0.418444:0.840228:0.418444:0.831924:0.413678:0.831924:0.000000
Las soluciones  :@0.507131:0.799633:0.610343:0.799633:0.610343:0.785388:0.507131:0.785388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación  :@0.507131:0.818493:0.611163:0.818493:0.611163:0.804248:0.507131:0.804248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son:  = 0 y :@0.507131:0.837352:0.588950:0.837352:0.588950:0.823107:0.507131:0.823107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.534186:0.837352:0.543986:0.837352:0.543986:0.822479:0.534186:0.822479:0.000000:0.000000
1:@0.543978:0.840228:0.548744:0.840228:0.548744:0.831924:0.543978:0.831924:0.000000
x:@0.591692:0.836955:0.598477:0.836955:0.602837:0.822081:0.596052:0.822081:0.000000
–:@0.622610:0.836955:0.630987:0.836955:0.630987:0.822710:0.622610:0.822710:0.000000
2:@0.633551:0.829136:0.641727:0.829136:0.641727:0.814891:0.633551:0.814891:0.000000
5:@0.633702:0.846977:0.641877:0.846977:0.641877:0.832732:0.633702:0.832732:0.000000
2:@0.601251:0.838772:0.605977:0.838772:0.605977:0.830537:0.601251:0.830537:0.000000
=:@0.610517:0.837571:0.619714:0.837571:0.619714:0.823414:0.610517:0.823414:0.000000
Las soluciones  :@0.716074:0.799638:0.816772:0.799638:0.816772:0.785393:0.716074:0.785393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación son::@0.716074:0.818498:0.840477:0.818498:0.840477:0.804253:0.716074:0.804253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.718705:0.837637:0.725233:0.837637:0.729428:0.823326:0.722900:0.823326:0.000000
y x:@0.769625:0.837637:0.794689:0.837637:0.798884:0.823326:0.773820:0.823326:0.000000:0.000000:0.000000
–:@0.748153:0.837637:0.756212:0.837637:0.756212:0.823931:0.748153:0.823931:0.000000
5:@0.758823:0.830112:0.766690:0.830112:0.766690:0.816406:0.758823:0.816406:0.000000
2:@0.758680:0.847277:0.766546:0.847277:0.766546:0.833570:0.758680:0.833570:0.000000
...:@0.779837:0.837637:0.787993:0.837637:0.787993:0.823931:0.779837:0.823931:0.000000:0.000000:0.000000
5:@0.818973:0.830112:0.826839:0.830112:0.826839:0.816406:0.818973:0.816406:0.000000
2:@0.818825:0.847277:0.826690:0.847277:0.826690:0.833570:0.818825:0.833570:0.000000
1:@0.740244:0.839385:0.744791:0.839385:0.744791:0.831461:0.740244:0.831461:0.000000
2:@0.797368:0.839385:0.801915:0.839385:0.801915:0.831461:0.797368:0.831461:0.000000
=:@0.731883:0.838230:0.666328:0.838230:0.666328:0.824608:0.731883:0.824608:0.000000
=:@0.806287:0.838230:0.740732:0.838230:0.740732:0.824608:0.806287:0.824608:0.000000
 :@0.830509:0.837352:0.833525:0.837352:0.833525:0.822479:0.830509:0.822479:0.000000
o puede :@0.833525:0.838610:0.892275:0.838610:0.892275:0.824364:0.833525:0.824364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribirse como: :@0.716074:0.861241:0.825130:0.861241:0.825130:0.846996:0.716074:0.846996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=±:@0.838527:0.860558:0.859140:0.860558:0.859140:0.847321:0.838527:0.847321:0.000000:0.000000
x:@0.828424:0.859982:0.834768:0.859982:0.834768:0.846075:0.828424:0.846075:0.000000
5:@0.862022:0.852364:0.869666:0.852364:0.869666:0.839045:0.862022:0.839045:0.000000
2:@0.861843:0.868899:0.869487:0.868899:0.869487:0.855579:0.861843:0.855579:0.000000
Archivo editorial.:@0.088606:0.295246:0.088606:0.244937:0.077218:0.244937:0.077218:0.295246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ubicación del lanzamiento.:@0.096359:0.313355:0.259010:0.313355:0.259010:0.300534:0.096359:0.300534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.836458:0.883127:0.899591:0.883127:0.899591:0.874519:0.836458:0.874519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En economía y finanzas, :@0.106529:0.776593:0.269595:0.776593:0.269595:0.762348:0.106529:0.762348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números negativos :@0.106529:0.791681:0.261002:0.791681:0.261002:0.777436:0.106529:0.777436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresan pérdidas o :@0.106529:0.806769:0.244433:0.806769:0.244433:0.792523:0.106529:0.792523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saldos en contra. :@0.106529:0.821856:0.222322:0.821856:0.222322:0.807611:0.106529:0.807611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde::@0.106529:0.844073:0.179972:0.844073:0.179972:0.828960:0.106529:0.828960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿por qué el :@0.179972:0.844073:0.261908:0.844073:0.261908:0.829827:0.179972:0.829827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
control de los gastos :@0.106529:0.859160:0.248119:0.859160:0.248119:0.844915:0.106529:0.844915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a tener una :@0.106529:0.874248:0.230026:0.874248:0.230026:0.860003:0.106529:0.860003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
economía sana?:@0.106529:0.889336:0.214247:0.889336:0.214247:0.875090:0.106529:0.875090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.739609:0.247891:0.739609:0.247891:0.722708:0.136865:0.722708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.136865:0.753439:0.259482:0.753439:0.259482:0.736538:0.136865:0.736538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.764190:0.164857:0.849194:0.164857:0.849194:0.154886:0.764190:0.154886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000