85:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Taller:@0.179762:0.130414:0.240657:0.130414:0.240657:0.096466:0.179762:0.096466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.3.5. Plantea y resuelve problemas que involucren, ecuaciones de segundo grado y la aplicación de las propiedades de las raíces :@0.260784:0.113160:0.881629:0.113160:0.881629:0.102730:0.260784:0.102730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación de segundo grado; juzga la validez de las soluciones obtenidas en el contexto del problema. :@0.260784:0.123721:0.763182:0.123721:0.763182:0.113292:0.260784:0.113292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.547679:0.590774:0.564503:0.590774:0.564503:0.573874:0.547679:0.573874:0.000000:0.000000:0.000000
José creó un cuadrado algo especial: su :@0.580922:0.590774:0.888700:0.590774:0.888700:0.574385:0.580922:0.574385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área más su perímetro suman 1 440.:@0.580922:0.607371:0.845484:0.607371:0.845484:0.590982:0.580922:0.590982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547679:0.627535:0.551714:0.627535:0.551714:0.611146:0.547679:0.611146:0.000000
¿Cuánto mide cada lado del cuadrado?:@0.580922:0.627535:0.866808:0.627535:0.866808:0.611146:0.580922:0.611146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.547679:0.770207:0.567599:0.770207:0.567599:0.753307:0.547679:0.753307:0.000000:0.000000:0.000000
La suma de los cuadrados de dos núme-:@0.580922:0.770207:0.884646:0.770207:0.884646:0.753819:0.580922:0.753819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ros pares consecutivos es 340. ¿Cuáles :@0.580922:0.786804:0.888717:0.786804:0.888717:0.770415:0.580922:0.770415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son esos números?:@0.580922:0.803400:0.720657:0.803400:0.720657:0.787011:0.580922:0.787011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514435:0.917279:0.518158:0.917279:0.518158:0.900143:0.514435:0.900143:0.000000
  :@0.547679:0.917279:0.555123:0.917279:0.555123:0.900143:0.547679:0.900143:0.000000:0.000000
e) :@0.547679:0.172018:0.566548:0.172018:0.566548:0.155117:0.547679:0.155117:0.000000:0.000000:0.000000
Karla visitó la feria del libro. Allí compró :@0.580922:0.172018:0.888700:0.172018:0.888700:0.155629:0.580922:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una colección de libros por $ 90. Si hubie-:@0.580922:0.188614:0.884646:0.188614:0.884646:0.172225:0.580922:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ra comprado 3 libros más por la misma :@0.580922:0.205210:0.888684:0.205210:0.888684:0.188821:0.580922:0.188821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad de dinero, cada libro le hubiese :@0.580922:0.221807:0.888682:0.221807:0.888682:0.205418:0.580922:0.205418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costado $ 1 menos.:@0.580922:0.238403:0.723384:0.238403:0.723384:0.222014:0.580922:0.222014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.580038:0.268664:0.594116:0.268664:0.594116:0.251763:0.580038:0.251763:0.000000:0.000000:0.000000
¿Cuántos libros compró Karla?:@0.613281:0.268664:0.834118:0.268664:0.834118:0.252275:0.613281:0.252275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        :@0.580038:0.391505:0.608847:0.391505:0.608847:0.374369:0.580038:0.374369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.580036:0.420303:0.598832:0.420303:0.598832:0.403403:0.580036:0.403403:0.000000:0.000000:0.000000:0.000000
¿Cuánto pagó por cada libro de la  :@0.613279:0.420303:0.869331:0.420303:0.869331:0.403914:0.613279:0.403914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colección?:@0.613279:0.436900:0.691136:0.436900:0.691136:0.420511:0.613279:0.420511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        :@0.580036:0.557901:0.608836:0.557901:0.608836:0.540765:0.580036:0.540765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R.:@0.615826:0.530226:0.630660:0.530226:0.630660:0.513326:0.615826:0.513326:0.000000:0.000000
1. :@0.120583:0.172021:0.139324:0.172020:0.139324:0.154884:0.120583:0.154886:0.000000:0.000000:0.000000
Resuelve:@0.153826:0.172020:0.221990:0.172020:0.221990:0.155396:0.153826:0.155396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes problemas. :@0.221990:0.172020:0.414870:0.172020:0.414870:0.155631:0.221990:0.155631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153826:0.205849:0.172549:0.205850:0.172549:0.188950:0.153826:0.188948:0.000000:0.000000:0.000000
Una piscina rectangular fue construida :@0.187070:0.205850:0.487403:0.205850:0.487403:0.189461:0.187070:0.189461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con un área de 1 000 m2 y un perímetro :@0.187070:0.222447:0.495880:0.222447:0.495880:0.206058:0.187070:0.206058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 140 m. ¿Qué longitud  :@0.187070:0.239043:0.376449:0.239043:0.376449:0.222654:0.187070:0.222654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene cada lado de la piscina?:@0.187070:0.255639:0.401088:0.255639:0.401088:0.239251:0.187070:0.239251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153820:0.398309:0.173851:0.398309:0.173851:0.381409:0.153820:0.381409:0.000000:0.000000:0.000000
¿Cuáles son los dos números positivos,  :@0.187063:0.398309:0.497901:0.398309:0.497901:0.381920:0.187063:0.381920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tales que, la suma de sus cuadrados sea :@0.187063:0.414906:0.497864:0.414906:0.497864:0.398517:0.187063:0.398517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
193 y su diferencia sea 5?:@0.187063:0.431502:0.373328:0.431502:0.373328:0.415113:0.187063:0.415113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120576:0.545381:0.124299:0.545381:0.124299:0.528245:0.120576:0.528245:0.000000
  :@0.153820:0.545381:0.161264:0.545381:0.161264:0.528245:0.153820:0.528245:0.000000:0.000000
c) :@0.153820:0.574178:0.171455:0.574178:0.171455:0.557277:0.153820:0.557277:0.000000:0.000000:0.000000
La suma de los cuadrados de dos números  :@0.187063:0.574178:0.497901:0.574178:0.497901:0.557789:0.187063:0.557789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros, negativos y consecutivos es 481.:@0.187063:0.590774:0.487356:0.590774:0.487356:0.574385:0.187063:0.574385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153820:0.610939:0.157855:0.610939:0.157855:0.594550:0.153820:0.594550:0.000000
¿Cuáles son esos números?:@0.187063:0.610939:0.388311:0.610939:0.388311:0.594550:0.187063:0.594550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120576:0.724818:0.124299:0.724818:0.124299:0.707682:0.120576:0.707682:0.000000
  :@0.153820:0.724818:0.161264:0.724818:0.161264:0.707682:0.153820:0.707682:0.000000:0.000000
d) :@0.153820:0.753611:0.173887:0.753611:0.173887:0.736710:0.153820:0.736710:0.000000:0.000000:0.000000
Beatriz es dos años mayor que Ricardo y :@0.187063:0.753611:0.497917:0.753611:0.497917:0.737222:0.187063:0.737222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de los cuadrados de ambas eda-:@0.187063:0.770207:0.493828:0.770207:0.493828:0.753819:0.187063:0.753819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
des es 1 154. ¿Cuál es la edad de Beatriz  :@0.187063:0.786804:0.497901:0.786804:0.497901:0.770415:0.187063:0.770415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Ricardo?:@0.187063:0.803400:0.261234:0.803400:0.261234:0.787011:0.187063:0.787011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120576:0.917279:0.124299:0.917279:0.124299:0.900143:0.120576:0.900143:0.000000
  :@0.153820:0.917279:0.161264:0.917279:0.161264:0.900143:0.153820:0.900143:0.000000:0.000000
R.:@0.186229:0.325884:0.201063:0.325884:0.201063:0.308983:0.186229:0.308983:0.000000:0.000000
R.:@0.611760:0.367375:0.626594:0.367375:0.626594:0.350474:0.611760:0.350474:0.000000:0.000000
R.:@0.584303:0.676205:0.599137:0.676205:0.599137:0.659305:0.584303:0.659305:0.000000:0.000000
R.:@0.584303:0.850619:0.599137:0.850619:0.599137:0.833719:0.584303:0.833719:0.000000:0.000000
R.:@0.186247:0.525787:0.201082:0.525787:0.201082:0.508886:0.186247:0.508886:0.000000:0.000000
R.:@0.186247:0.682152:0.201082:0.682152:0.201082:0.665252:0.186247:0.665252:0.000000:0.000000
R.:@0.186247:0.892913:0.201082:0.892913:0.201082:0.876012:0.186247:0.876012:0.000000:0.000000
Shutterstock, (2021). 744562936:@0.900777:0.423365:0.900777:0.311768:0.886881:0.311768:0.886881:0.423365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
www.freepik.es, (2021). :@0.505436:0.366914:0.505436:0.284792:0.491540:0.284792:0.491540:0.366914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.588095:0.830127:0.607389:0.830127:0.607389:0.813765:0.588095:0.813765:0.000000:0.000000:0.000000
(  + 2) = 340:@0.595301:0.830127:0.683514:0.830127:0.683514:0.813738:0.595301:0.813738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.588095:0.852753:0.606136:0.852753:0.606136:0.835852:0.588095:0.835852:0.000000:0.000000:0.000000:0.000000:0.000000
Los números son 12 y 14.:@0.605878:0.852753:0.784184:0.852753:0.784184:0.836364:0.605878:0.836364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.588095:0.653569:0.595559:0.653569:0.595559:0.637208:0.588095:0.637208:0.000000
2 + 4  = 1 440:@0.595301:0.653569:0.691788:0.653569:0.691788:0.637180:0.595301:0.637180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.627328:0.653569:0.634791:0.653569:0.634791:0.637208:0.627328:0.637208:0.000000
     :@0.588095:0.676195:0.606136:0.676195:0.606136:0.659295:0.588095:0.659295:0.000000:0.000000:0.000000:0.000000:0.000000
Cada lado del cuadrado mide 36 :@0.605878:0.676195:0.840683:0.676195:0.840683:0.659806:0.605878:0.659806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidades.:@0.588095:0.698822:0.656775:0.698822:0.656775:0.682433:0.588095:0.682433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.617193:0.530341:0.635233:0.530341:0.635233:0.513440:0.617193:0.513440:0.000000:0.000000:0.000000:0.000000:0.000000
Pagó $ 6 por cada libro de la :@0.634975:0.530341:0.839504:0.530341:0.839504:0.513952:0.634975:0.513952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colección.:@0.617193:0.552967:0.688913:0.552967:0.688913:0.536578:0.617193:0.536578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90:@0.621240:0.298391:0.639225:0.298391:0.639225:0.282003:0.621240:0.282003:0.000000:0.000000
 :@0.624483:0.320603:0.628519:0.320603:0.628519:0.304214:0.624483:0.304214:0.000000
x:@0.628519:0.320603:0.635982:0.320603:0.635982:0.304242:0.628519:0.304242:0.000000
 – 1 = :@0.640718:0.307395:0.684502:0.307395:0.684502:0.291006:0.640718:0.291006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  90  :@0.694614:0.298391:0.728742:0.298391:0.728742:0.282003:0.694614:0.282003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + 3:@0.686211:0.320603:0.729074:0.320603:0.729074:0.304214:0.686211:0.304214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.694282:0.320603:0.705062:0.320603:0.705062:0.304242:0.694282:0.304242:0.000000:0.000000
0 = –2 2 +   – 2 ,:@0.188646:0.281408:0.317658:0.281408:0.317658:0.265019:0.188646:0.265019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.233352:0.281408:0.240815:0.281408:0.240815:0.265047:0.233352:0.265047:0.000000
Px:@0.263849:0.281408:0.279826:0.281408:0.279826:0.265047:0.263849:0.265047:0.000000:0.000000
A:@0.304814:0.281408:0.314710:0.281408:0.314710:0.265047:0.304814:0.265047:0.000000
0 = –2 2 + 140  – 2 000:@0.188646:0.304034:0.352744:0.304034:0.352744:0.287645:0.188646:0.287645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.233352:0.304034:0.240815:0.304034:0.240815:0.287673:0.233352:0.287673:0.000000
x:@0.290054:0.304034:0.297517:0.304034:0.297517:0.287673:0.290054:0.287673:0.000000
     :@0.188646:0.326661:0.206687:0.326661:0.206687:0.309760:0.188646:0.309760:0.000000:0.000000:0.000000:0.000000:0.000000
La piscina mide 50 m de largo y  :@0.206429:0.326661:0.437751:0.326661:0.437751:0.310272:0.206429:0.310272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 m de ancho.  :@0.188646:0.349287:0.306012:0.349287:0.306012:0.332898:0.188646:0.332898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 – 10  – 168 = 0:@0.188646:0.458671:0.320772:0.458671:0.320772:0.442282:0.188646:0.442282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.197381:0.458671:0.204844:0.458671:0.204844:0.442310:0.197381:0.442310:0.000000
x:@0.243579:0.458671:0.251042:0.458671:0.251042:0.442310:0.243579:0.442310:0.000000
x:@0.188646:0.480039:0.196109:0.480039:0.196109:0.463678:0.188646:0.463678:0.000000
1:@0.195848:0.483235:0.201091:0.483235:0.201091:0.473680:0.195848:0.473680:0.000000
 = 12  :@0.200939:0.480071:0.244502:0.480071:0.244502:0.463683:0.200939:0.463683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇒ :@0.244244:0.480749:0.266781:0.480749:0.266781:0.465176:0.244244:0.465176:0.000000:0.000000
   = 7:@0.266523:0.480071:0.309885:0.480071:0.309885:0.463683:0.266523:0.463683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.270301:0.480071:0.277782:0.480071:0.277782:0.463710:0.270301:0.463710:0.000000
1:@0.277521:0.483235:0.282764:0.483235:0.282764:0.473680:0.277521:0.473680:0.000000
x:@0.188650:0.501439:0.196113:0.501439:0.196113:0.485078:0.188650:0.485078:0.000000
2:@0.195848:0.504609:0.201091:0.504609:0.201091:0.495054:0.195848:0.495054:0.000000
 = –7 es negativo:@0.200939:0.501446:0.322709:0.501446:0.322709:0.485057:0.200939:0.485057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.188648:0.522813:0.206689:0.522813:0.206689:0.505913:0.188648:0.505913:0.000000:0.000000:0.000000:0.000000:0.000000
Los números buscados son: 12 y 7.:@0.206431:0.522813:0.450781:0.522813:0.450781:0.506424:0.206431:0.506424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 = 2 2 + 2  – 480:@0.188648:0.637232:0.313808:0.637232:0.313808:0.620843:0.188648:0.620843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.224398:0.637232:0.231861:0.637232:0.231861:0.620870:0.224398:0.620870:0.000000
x:@0.263630:0.637232:0.271093:0.637232:0.271093:0.620870:0.263630:0.620870:0.000000
x:@0.188648:0.659858:0.196111:0.659858:0.196111:0.643497:0.188648:0.643497:0.000000
1:@0.195848:0.663029:0.201091:0.663029:0.201091:0.653474:0.195848:0.653474:0.000000
 = 15,    = –16:@0.200939:0.659866:0.304452:0.659866:0.304452:0.643477:0.200939:0.643477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.247193:0.659866:0.254656:0.659866:0.254656:0.643504:0.247193:0.643504:0.000000
2:@0.254398:0.663029:0.259640:0.663029:0.259640:0.653474:0.254398:0.653474:0.000000
     :@0.188635:0.682492:0.206675:0.682492:0.206675:0.665591:0.188635:0.665591:0.000000:0.000000:0.000000:0.000000:0.000000
Los números son –16 y –15.:@0.206417:0.682492:0.402635:0.682492:0.402635:0.666103:0.206417:0.666103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.188635:0.827088:0.196098:0.827088:0.196098:0.810727:0.188635:0.810727:0.000000
2 + (  – 2)2 = 1 154:@0.195840:0.827088:0.323101:0.827088:0.323101:0.810699:0.195840:0.810699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223758:0.827088:0.231221:0.827088:0.231221:0.810727:0.223758:0.810727:0.000000
x:@0.188635:0.849714:0.196098:0.849714:0.196098:0.833353:0.188635:0.833353:0.000000
1:@0.195848:0.852882:0.201091:0.852882:0.201091:0.843327:0.195848:0.843327:0.000000
 = 25:@0.200939:0.849718:0.236947:0.849718:0.236947:0.833329:0.200939:0.833329:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.188648:0.872344:0.196111:0.872344:0.196111:0.855983:0.188648:0.855983:0.000000
2:@0.195848:0.875513:0.201091:0.875513:0.201091:0.865958:0.195848:0.865958:0.000000
 = –23:@0.200939:0.872349:0.245903:0.872349:0.245903:0.855960:0.200939:0.855960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.188648:0.894976:0.206689:0.894976:0.206689:0.878075:0.188648:0.878075:0.000000:0.000000:0.000000:0.000000:0.000000
Beatriz tiene 25 años y Ricardo 23.:@0.206431:0.894976:0.445583:0.894976:0.445583:0.878587:0.206431:0.878587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.632201:0.368165:0.636016:0.368165:0.636016:0.351265:0.632201:0.351265:0.000000
Karla compró 15 libros.:@0.635758:0.368165:0.797204:0.368165:0.797204:0.351776:0.635758:0.351776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000