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

(In reply to i cant get it by Nick)

A SECOND HINT

Substitute:
x^2 + 5y = (x + p)^2, and
y^2 + 5x = (y + q)^2
where p and q are positive integers.

Now, try to solve the problem.

Note: I will be posting the solution to this problem in approximately 4 weeks.

Edited on June 6, 2006, 3:51 am

Posted by K Sengupta on 2006-06-06 03:46:15