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?

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewesti think so it is 6. – Ayush Rai · 1 year, 2 months ago

Log in to reply

the answer is 6. – Abhishek Alva · 1 year, 2 months ago

Log in to reply

APMO 2002, right? – Shourya Pandey · 1 year, 2 months ago

Log in to reply

This was given at Romanian JBMO TST 2- 2014 – Tudor Darius Cardas · 1 year, 3 months ago

Log in to reply