It is considered positive integers $a, b, c$ with $a^2+b^2+a+b=abc$. Prove that $c\in\{3;4\}$.
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How about $a=10$ , $b=1$ ? – imranfat Jan 14 '15 at 16:04
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$c$ must be an integer. – Empy2 Jan 14 '15 at 16:05
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@Michael. Sorry, yes, I didn't have my coffee yet...:) – imranfat Jan 14 '15 at 16:07