84:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115354:0.420978:0.272476:0.420978:0.272476:0.402541:0.115354:0.402541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos :@0.115354:0.440825:0.210699:0.440825:0.210699:0.424201:0.115354:0.424201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el siguiente problema.:@0.210699:0.440825:0.374224:0.440825:0.374224:0.424436:0.210699:0.424436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Juan tiene dos hermanos, Sebastián y Darwin. Sebastián es 3 años mayor que Juan y Darwin 5 años mayor. :@0.115354:0.464544:0.884054:0.464544:0.884054:0.448155:0.115354:0.448155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se sabe que el producto de las edades de los hermanos mayores es 80. ¿Qué edad tiene cada hermano?:@0.115354:0.481140:0.876959:0.481140:0.876959:0.464751:0.115354:0.464751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115354:0.504859:0.184568:0.504859:0.184568:0.487959:0.115354:0.487959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
23:@0.043268:0.122645:0.087243:0.122645:0.087243:0.065614:0.043268:0.065614:0.000000:0.000000
M.4.1.61. Resolver (con apoyo de las TIC) y plantear problemas con enunciados que involucren modelos con funciones cuadráticas, e interpretar y juzgar la validez :@0.125388:0.069719:0.877771:0.069719:0.877771:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las soluciones obtenidas dentro del contexto del problema.:@0.125388:0.080280:0.416814:0.080280:0.416814:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La mayoría de los problemas son diferentes, sin embargo, se los puede resolver al seguir ciertos pasos :@0.115209:0.167757:0.883990:0.167757:0.883990:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muy generales.:@0.115209:0.184353:0.226528:0.184353:0.226528:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.115209:0.208072:0.129324:0.208072:0.129324:0.191448:0.115209:0.191448:0.000000:0.000000
 :@0.129324:0.208072:0.133139:0.208072:0.133139:0.191171:0.129324:0.191171:0.000000
Comprender el problema: :@0.148452:0.208072:0.356038:0.208072:0.356038:0.191171:0.148452:0.191171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un problema consta de dos partes, en una te describen el problema y te  :@0.355743:0.208072:0.883936:0.208072:0.883936:0.191683:0.355743:0.191683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
brindan los datos; en la otra parte, aparece una pregunta. :@0.148452:0.224668:0.580708:0.224668:0.580708:0.208279:0.148452:0.208279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debes:@0.581795:0.224668:0.630389:0.224668:0.630389:0.208044:0.581795:0.208044:0.000000:0.000000:0.000000:0.000000:0.000000
 leer detenidamente el problema, :@0.630389:0.224668:0.883896:0.224668:0.883896:0.208279:0.630389:0.208279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una o varias veces, hasta lograr comprenderlo.:@0.148452:0.241265:0.486483:0.241265:0.486483:0.224876:0.148452:0.224876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.115209:0.261429:0.135240:0.261429:0.135240:0.244529:0.115209:0.244529:0.000000:0.000000:0.000000
Extraer y anotar los datos del problema y la interrogante: :@0.148452:0.261429:0.587305:0.261429:0.587305:0.244529:0.148452:0.244529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recuerda:@0.586494:0.261429:0.653038:0.261429:0.653038:0.244805:0.586494:0.244805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 describir cada variable utilizada.:@0.652854:0.261429:0.879954:0.261429:0.879954:0.245040:0.652854:0.245040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.115209:0.281594:0.132844:0.281594:0.132844:0.264693:0.115209:0.264693:0.000000:0.000000:0.000000
Pensar cómo resolverlo: :@0.148452:0.281594:0.343710:0.281594:0.343710:0.264693:0.148452:0.264693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no hay solo un camino de solución por lo que es útil tratar de dividir el :@0.344909:0.281594:0.883862:0.281594:0.883862:0.265205:0.344909:0.265205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema en partes, hacer un esquema, representar los datos gráficamente, buscar algún problema :@0.148452:0.298190:0.883990:0.298190:0.883990:0.281801:0.148452:0.281801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parecido, experimentar.:@0.148452:0.314787:0.321116:0.314787:0.321116:0.298398:0.148452:0.298398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.115209:0.334951:0.135277:0.334951:0.135277:0.318051:0.115209:0.318051:0.000000:0.000000:0.000000
Realizar :@0.148452:0.334951:0.211917:0.334951:0.211917:0.318327:0.148452:0.318327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las operaciones necesarias para ello, :@0.211917:0.334951:0.479153:0.334951:0.479153:0.318562:0.211917:0.318562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describir:@0.479153:0.334951:0.545564:0.334951:0.545564:0.318327:0.479153:0.318327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada paso.:@0.545564:0.334951:0.626701:0.334951:0.626701:0.318562:0.545564:0.318562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.115209:0.355116:0.134079:0.355116:0.134079:0.338215:0.115209:0.338215:0.000000:0.000000:0.000000
Interpretar validar:@0.148452:0.355116:0.298894:0.355116:0.298894:0.338492:0.148452:0.338492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.231080:0.355116:0.247260:0.355116:0.247260:0.338727:0.231080:0.338727:0.000000:0.000000:0.000000
 los resultados obtenidos.:@0.298894:0.355116:0.485009:0.355116:0.485009:0.338727:0.298894:0.338727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.115209:0.375280:0.132033:0.375280:0.132033:0.358380:0.115209:0.358380:0.000000:0.000000:0.000000
Dar :@0.148452:0.375280:0.179540:0.375280:0.179540:0.358656:0.148452:0.358656:0.000000:0.000000:0.000000:0.000000
respuesta al problema: :@0.179540:0.375280:0.349682:0.375280:0.349682:0.358892:0.179540:0.358892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacerlo:@0.349682:0.375280:0.406734:0.375280:0.406734:0.358656:0.349682:0.358656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de forma clara y precisa.:@0.406734:0.375280:0.586510:0.375280:0.586510:0.358892:0.406734:0.358892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas con ecuaciones de segundo grado:@0.115891:0.141978:0.780240:0.141978:0.780240:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos::@0.115354:0.536650:0.165975:0.536650:0.165975:0.519749:0.115354:0.519749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Edad de Juan: :@0.115354:0.553246:0.220944:0.553246:0.220944:0.536857:0.115354:0.536857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.220944:0.553246:0.228408:0.553246:0.228408:0.536885:0.220944:0.536885:0.000000
Edad de Sebastián:   + 3:@0.115354:0.569843:0.292847:0.569843:0.292847:0.553454:0.115354:0.553454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.257337:0.569843:0.264800:0.569843:0.264800:0.553481:0.257337:0.553481:0.000000
Edad de Darwin:  + 5:@0.115354:0.586439:0.274659:0.586439:0.274659:0.570050:0.115354:0.570050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.239868:0.586439:0.250648:0.586439:0.250648:0.570078:0.239868:0.570078:0.000000:0.000000
x = ?:@0.115354:0.610158:0.146902:0.610158:0.146902:0.593797:0.115354:0.593797:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.115354:0.626754:0.122817:0.626754:0.122817:0.610393:0.115354:0.610393:0.000000
 + 3 = ?:@0.122817:0.626754:0.176939:0.626754:0.176939:0.610366:0.122817:0.610366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.115354:0.643351:0.122817:0.643351:0.122817:0.626990:0.115354:0.626990:0.000000
 + 5 = ?:@0.122817:0.643351:0.176939:0.643351:0.176939:0.626962:0.122817:0.626962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  + 3)(  + 5) = 80:@0.115354:0.659947:0.242947:0.659947:0.242947:0.643558:0.115354:0.643558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.120237:0.659947:0.127701:0.659947:0.127701:0.643586:0.120237:0.643586:0.000000
x:@0.165514:0.659947:0.172977:0.659947:0.172977:0.643586:0.165514:0.643586:0.000000
Operaciones::@0.115354:0.683666:0.219894:0.683666:0.219894:0.666766:0.115354:0.666766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  + 3)(  + 5) = 80:@0.115354:0.700263:0.242947:0.700263:0.242947:0.683874:0.115354:0.683874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.120237:0.700263:0.127701:0.700263:0.127701:0.683901:0.120237:0.683901:0.000000
x:@0.165514:0.700263:0.172977:0.700263:0.172977:0.683901:0.165514:0.683901:0.000000
x:@0.115354:0.716859:0.122817:0.716859:0.122817:0.700498:0.115354:0.700498:0.000000
2 + 8  + 15 = 80:@0.122817:0.716859:0.237677:0.716859:0.237677:0.700470:0.122817:0.700470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.156134:0.716859:0.163598:0.716859:0.163598:0.700498:0.156134:0.700498:0.000000
x:@0.115354:0.733455:0.122817:0.733455:0.122817:0.717094:0.115354:0.717094:0.000000
2 + 8  + 15 – 80 = 80 – 80:@0.122817:0.733455:0.308218:0.733455:0.308218:0.717066:0.122817:0.717066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.156134:0.733455:0.163598:0.733455:0.163598:0.717094:0.156134:0.717094:0.000000
x:@0.115354:0.750052:0.122817:0.750052:0.122817:0.733690:0.115354:0.733690:0.000000
2 + 8  – 65 = 0:@0.122817:0.750052:0.226915:0.750052:0.226915:0.733663:0.122817:0.733663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.156134:0.750052:0.163598:0.750052:0.163598:0.733690:0.156134:0.733690:0.000000
Resolvemos:@0.115354:0.773771:0.207031:0.773771:0.207031:0.757147:0.115354:0.757147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 esta ecuación::@0.207031:0.773771:0.315239:0.773771:0.315239:0.757382:0.207031:0.757382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = :@0.115354:0.806300:0.140434:0.806300:0.140434:0.789938:0.115354:0.789938:0.000000:0.000000:0.000000:0.000000
4:@0.186393:0.815414:0.195385:0.815414:0.195385:0.799025:0.186393:0.799025:0.000000
a:@0.195385:0.815414:0.204654:0.815414:0.204654:0.799052:0.195385:0.799052:0.000000
–b:@0.140766:0.796535:0.159249:0.796535:0.159249:0.780174:0.140766:0.780174:0.000000:0.000000
 ± √ 2 – 4:@0.159249:0.796535:0.229163:0.796535:0.229163:0.780146:0.159249:0.780146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.188346:0.796535:0.197615:0.796535:0.197615:0.780174:0.188346:0.780174:0.000000
ac:@0.229163:0.796535:0.246098:0.796535:0.246098:0.780174:0.229163:0.780174:0.000000:0.000000
x = :@0.115354:0.848379:0.140434:0.848379:0.140434:0.832018:0.115354:0.832018:0.000000:0.000000:0.000000:0.000000
2(1):@0.191663:0.857493:0.219415:0.857493:0.219415:0.841104:0.191663:0.841104:0.000000:0.000000:0.000000:0.000000
–:@0.140913:0.838822:0.150127:0.838822:0.150127:0.822461:0.140913:0.822461:0.000000
8 ± √82 – 4(1)(–65):@0.150127:0.838822:0.284483:0.838822:0.284483:0.822433:0.150127:0.822433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  = :@0.378314:0.548909:0.408637:0.548909:0.408637:0.532547:0.378314:0.532547:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.385777:0.550815:0.391019:0.550815:0.391019:0.541260:0.385777:0.541260:0.000000
2:@0.442433:0.558023:0.451426:0.558023:0.451426:0.541634:0.442433:0.541634:0.000000
–:@0.409171:0.539144:0.418385:0.539144:0.418385:0.522783:0.409171:0.522783:0.000000
8 + √324:@0.418385:0.539144:0.483453:0.539144:0.483453:0.522756:0.418385:0.522756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  :@0.486090:0.548909:0.507024:0.548909:0.507024:0.532547:0.486090:0.532547:0.000000:0.000000:0.000000:0.000000
2:@0.532233:0.558023:0.541226:0.558023:0.541226:0.541634:0.532233:0.541634:0.000000
–:@0.507485:0.539144:0.516698:0.539144:0.516698:0.522783:0.507485:0.522783:0.000000
8 + 18:@0.516698:0.539144:0.562731:0.539144:0.562731:0.522756:0.516698:0.522756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.378314:0.582101:0.385777:0.582101:0.385777:0.565740:0.378314:0.565740:0.000000
1:@0.385777:0.584008:0.391019:0.584008:0.391019:0.574453:0.385777:0.574453:0.000000
 = 5:@0.391020:0.582101:0.419067:0.582101:0.419067:0.565713:0.391020:0.565713:0.000000:0.000000:0.000000:0.000000
x  = :@0.378324:0.624090:0.408637:0.624095:0.408637:0.607734:0.378324:0.607729:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.385777:0.626002:0.391019:0.626002:0.391019:0.616447:0.385777:0.616447:0.000000
2:@0.454596:0.633209:0.463588:0.633209:0.463588:0.616821:0.454596:0.616821:0.000000
a:@0.463588:0.633209:0.472857:0.633209:0.472857:0.616848:0.463588:0.616848:0.000000
–b:@0.410756:0.614331:0.429239:0.614331:0.429239:0.597970:0.410756:0.597970:0.000000:0.000000
 – √ 2 – 4:@0.429239:0.614331:0.497385:0.614331:0.497385:0.597942:0.429239:0.597942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.456567:0.614331:0.465836:0.614331:0.465836:0.597970:0.456567:0.597970:0.000000
ac:@0.497385:0.614331:0.514320:0.614331:0.514320:0.597970:0.497385:0.597970:0.000000:0.000000
x  = :@0.378314:0.666089:0.408635:0.666089:0.408635:0.649728:0.378314:0.649728:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.385777:0.667995:0.391019:0.667995:0.391019:0.658441:0.385777:0.658441:0.000000
2:@0.441897:0.675203:0.450890:0.675203:0.450890:0.658814:0.441897:0.658814:0.000000
–:@0.410294:0.656325:0.419508:0.656325:0.419508:0.639964:0.410294:0.639964:0.000000
8 – √324:@0.419508:0.656325:0.482807:0.656325:0.482807:0.639936:0.419508:0.639936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  :@0.484616:0.666089:0.505550:0.666089:0.505550:0.649728:0.484616:0.649728:0.000000:0.000000:0.000000:0.000000
2:@0.530759:0.675203:0.539751:0.675203:0.539751:0.658814:0.530759:0.658814:0.000000
–:@0.506010:0.656325:0.515224:0.656325:0.515224:0.639964:0.506010:0.639964:0.000000
8 – 18:@0.515224:0.656325:0.559487:0.656325:0.559487:0.639936:0.515224:0.639936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.378314:0.699282:0.385777:0.699282:0.385777:0.682921:0.378314:0.682921:0.000000
2:@0.385777:0.701188:0.391019:0.701188:0.391019:0.691633:0.385777:0.691633:0.000000
 = –13:@0.391019:0.699282:0.437272:0.699282:0.437272:0.682893:0.391019:0.682893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De las dos soluciones obtenidas para la :@0.378322:0.732475:0.691647:0.732475:0.691647:0.716086:0.378322:0.716086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación cuadrática,   no es válida por-:@0.378322:0.749071:0.687580:0.749071:0.687580:0.732682:0.378322:0.732682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.538550:0.749071:0.546013:0.749071:0.546013:0.732710:0.538550:0.732710:0.000000
2:@0.545992:0.752235:0.551234:0.752235:0.551234:0.742680:0.545992:0.742680:0.000000
que las edades de las personas no son nú-:@0.378327:0.765667:0.687616:0.765667:0.687616:0.749278:0.378327:0.749278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
meros negativos. :@0.378327:0.782264:0.506968:0.782264:0.506968:0.765875:0.378327:0.765875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Descartamos:@0.506968:0.782264:0.607215:0.782264:0.607215:0.765640:0.506968:0.765640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  .:@0.607215:0.782264:0.627149:0.782264:0.627149:0.765875:0.607215:0.765875:0.000000:0.000000:0.000000
x:@0.611250:0.782264:0.618714:0.782264:0.618714:0.765903:0.611250:0.765903:0.000000
2:@0.618699:0.785428:0.623941:0.785428:0.623941:0.775873:0.618699:0.775873:0.000000
Luego:   = 5,   + 3 = 8,   + 5 = 10, verifican-:@0.378320:0.805983:0.687663:0.805983:0.687663:0.789594:0.378320:0.789594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.431687:0.805983:0.439150:0.805983:0.439150:0.789621:0.431687:0.789621:0.000000
x:@0.473333:0.805983:0.480796:0.805983:0.480796:0.789621:0.473333:0.789621:0.000000
x:@0.542289:0.805983:0.549753:0.805983:0.549753:0.789621:0.542289:0.789621:0.000000
do que  8   10 = 80.:@0.378320:0.822579:0.518868:0.822579:0.518868:0.806190:0.378320:0.806190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.451994:0.823257:0.456601:0.823257:0.456601:0.807684:0.451994:0.807684:0.000000
Respuesta: :@0.378320:0.846298:0.468505:0.846298:0.468505:0.829397:0.378320:0.829397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Juan tiene 5 años, Sebastián 8 y Darwin 10.:@0.378320:0.862894:0.687608:0.862894:0.687608:0.846506:0.378320:0.846506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 412086007:@0.896589:0.911019:0.896589:0.799422:0.882693:0.799422:0.882693:0.911019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000