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A Perfect Square Problem (Posted on 2006-06-03) Difficulty: 4 of 5
Find all possible pairs of positive integers (x,y) such that both x+5y and y+5x are perfect squares.

See The Solution Submitted by K Sengupta    
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Hints/Tips re: i cant get it | Comment 8 of 10 |
(In reply to i cant get it by Nick)


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

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