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Divisibility to square (
Posted on 20110305
)
Each of x and y is a positive integer such that x
^{2}
+ y
^{2}
+ 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)
Comments: (
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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 20110308 04:38:50
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