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
A SECOND HINT
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