Find all integers $n$ for which $9n + 16$ and $16n + 9$ are both perfect squares.
Problem
Source: 2010 Saudi Arabia BMO TST 5.1 - Balkan Math Olympiad
Tags: Perfect Square, number theory
Source: 2010 Saudi Arabia BMO TST 5.1 - Balkan Math Olympiad
Tags: Perfect Square, number theory
Find all integers $n$ for which $9n + 16$ and $16n + 9$ are both perfect squares.