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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)

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Some Thoughts re(3): Do i err ?? Comment 5 of 5 |
(In reply to re(2): Do i err ?? by Ady TZIDON)

None of A, B or C can be 1, since the LHS would be greater than 2/3.

For the same reason, C can't be 4. 

When C = 9, we find a solution when A = B = 9.

You err in asserting that there's no need to check values bigger than 9.  You haven't proven that there aren't other solutions where A = 4 or B = 4. 


  Posted by tomarken on 2014-05-29 09:41:25
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