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List of triplets (Posted on 2016-10-21) Difficulty: 3 of 5
Determine all possible triplets (x, y,n) of positive integers,
fulfilling the equation:
(x+y)*(x−y)^ n = x*y

No Solution Yet Submitted by Ady TZIDON    
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re: solution | Comment 2 of 4 |
(In reply to solution by Daniel)

Daniel:


I have not checked out the rest of your proof, but the equation is not symmetric with respect to x and y.  You still need to deal with the case where y > x.

  Posted by Steve Herman on 2016-10-21 08:56:47
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