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**