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Surprising Sudden Square (Posted on 2007-03-24)

Prove that if a²+b² is a multiple of ab+1, for positive integer a and b, then (a²+b²)/(ab+1) is a perfect square.

No Solution Yet Submitted by Old Original Oskar!

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re: A start

| Comment 3 of 10 |

(In reply to A start by Gamer)

What about if a=8 and b=2 then a^2+b^2 = 68, a*b+1 = 17 and 68/17 = 4 = 2^2.

Posted by Brian Smith on 2007-03-25 00:01:34

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