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Inverse Square Sum (Posted on 2014-05-28) Difficulty: 3 of 5
Determine all possible triplets of nonzero perfect squares (A, B, C) that satisfy this equation:
 1     2     3       2
--- + --- + --- =   ---
 A     B     C       3
Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Do i err ?? | Comment 4 of 5 |
(In reply to re(2): Do i err ?? by Ady TZIDON)

In my program, only A and B were necessarily getting larger in sum (actually the square roots). C would take up whatever slack. A formal proof would have to include what possible factors C could have as a result and limits on the smallness of C (can't be 1, 2, 3, 4, but could be 5, 6, ... as necessary to fill in for large A and B).
  Posted by Charlie on 2014-05-29 09:35:11

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