Find all possible pairs of positive integers (x,y) such that both x²+5y and y²+5x are perfect squares.

Set the first expression equal to the square of a  linear expression in x and set the second expression equal to the square of a linear expression in y.

 

Edited on June 3, 2006, 10:13 pm

Posted by K Sengupta on 2006-06-03 22:12:54