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.
(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).
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Posted by Charlie
on 2014-05-29 09:35:11 |