Date: Mar 2, 2013 8:43 AM
Author: Deep Deb
Subject: ----   ---  ---  --- validity of an equation

Consider the following equation under the given conditions

y^(1/2) = (x^10 - z^ 5)^(1/5 )                   (1)

Conditions: y, x, z are co prime integers each > 5, 2|y.

Question: can (1) have any solution ?

Any helpful comment will be appreciated