Let a, b natural numbers such that $ab+1 | a^2 + b^2$ . Prove that $(a^2 + b^2)/(ab+1)$ is a square number. I've tried a few things but it's getting me nowhere and it's annoying. Please help.
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Could you sketch some of the non-working things you've tried? – hmakholm left over Monica May 07 '17 at 11:55
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I only tried messing around with some basic calculations – May 07 '17 at 11:56
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1Where did you get this problem for? It looks like an olympiad question – kingW3 May 07 '17 at 12:03
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1@kingW3 It is a notorious olympiad problem. – Angina Seng May 07 '17 at 12:03
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Yes it is a duplicate. Thank you – May 07 '17 at 12:26