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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 2 years, 3 months ago

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2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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i think so it is 6.

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the answer is 6.

APMO 2002, right?

This was given at Romanian JBMO TST 2- 2014

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewesti think so it is 6.

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the answer is 6.

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APMO 2002, right?

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This was given at Romanian JBMO TST 2- 2014

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