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Integer

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?

Note by Ißra Jörg
1 year, 7 months ago

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i think so it is 6.

Ayush Rai - 1 year, 6 months ago

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the answer is 6.

Abhishek Alva - 1 year, 6 months ago

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APMO 2002, right?

Shourya Pandey - 1 year, 6 months ago

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This was given at Romanian JBMO TST 2- 2014

Tudor Darius Cardas - 1 year, 7 months ago

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