Paradoja

¿X? ¿Y? ¿Y qué hago?

Una clase de Matemática, una ecuación, dos variables,dos alumnos, dos métodos de resolución, dos resultados...

¿Es posible?

En una clase de matemática, el profesor presenta la siguiente ecuación y pide a sus alumnos que la resuelvan según x o según y:

x.(x-y) =  x2 – y2

El alumno Pablo, que sólo conoce la propiedad distributiva de la multiplicación respecto de la suma, la resuelve de la siguiente manera:

x2 – x.y  = x2  - y2

-x.y =  - y2

x.y = y2

x = y

Por su parte, el alumno Maximilliano, que sabe factorear perfectamente, la resuelve así:

x . (x - y)   =  (x - y) . (x + y)

x =  x + y

y = 0

¿Y ahora, que hacemos?.
Si tomamos en cuenta un resultado, excluimos el otro. Si tomamos en cuenta como válido los dos resultados la ecuación no existe porque tanto x como y son cero.
¡a trabajar!
Esperamos opiniones y respuestas.

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Su voto: Nada Promedio: 3.5 (4 votos)

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