perplexus.info :: Just Math : Divisibility to square

Divisibility to square (Posted on 2011-03-05)

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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