# ELMO 2012 SL N9

Are there positive integers $m,n$ such that there exist at least $2012$ positive integers $x$ such that both $m-x^2$ and $n-x^2$ are perfect squares?

# Continued Fractions and Linear Fractional Transformations

This is an article written by Evan O’Dorney for Intel STS 2011. It deals with rational approximation to some square roots. The article is at here