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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, 5 months ago

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i think so it is 6. · 1 year, 4 months ago

the answer is 6. · 1 year, 4 months ago

APMO 2002, right? · 1 year, 5 months ago