3. Resuélvase al primer golpe de vista

Problema

Obsérvese la ecuación atentamente y dígase cuál es el valor de x.

Solución

Todo el que esté familiarizado con los símbolos algebraicos deducirá que

En efecto,

por consiguiente

que era lo que se buscaba.

Aquellos a quienes esta solución “al primer golpe de vista” les resulte difícil, pueden valerse, para despejar con más sencillez la incógnita, del siguiente razonamiento:

Admitimos que x3 = y, entonces

por lo que la ecuación presentará esta forma

elevando la expresión al cubo

Es pues evidente que y = 3, y, por consiguiente,

Álgebra recreativa
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