Let \(a\) and \(b\) be integers.

How many pairs \((a, b)\) such as

\[\dfrac {a^2+b}{b^2-a} ,\dfrac {b^2+a}{a^2-b}\] are both integers?

How many pairs \((a, b)\) such as

\[\dfrac {a^2+b}{b^2-a} ,\dfrac {b^2+a}{a^2-b}\] are both integers?

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TopNewesti think so it is 6. – Ayush Rai · 4 months, 3 weeks ago

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the answer is 6. – Abhishek Alva · 4 months, 3 weeks ago

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APMO 2002, right? – Shourya Pandey · 5 months ago

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This was given at Romanian JBMO TST 2- 2014 – Tudor Darius Cardas · 5 months, 1 week ago

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