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Divisibility to square (Posted on 2011-03-05) Difficulty: 3 of 5
Each of x and y is a positive integer such that x2 + y2 + x is divisible by 2xy.

Prove that x is the square of an integer.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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Do any exist? | Comment 2 of 4 |
Although the solution I provided seems sensible, do any of these pairs exist? I have failed to come up with any.
  Posted by Gamer on 2011-03-08 04:38:50
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