# Inspired by Chew-Seong Cheong

**Algebra**Level pending

Jean can show that a certain algebraic expression satisfies \( f(x,y) \geq 4.5 \) for all real values of \(x\) and \(y\).

Given only that information, are you able to deduce the largest integer \(N\) such that \( f(x,y) \geq N \) for all real values of \(x\) and \(y\)?

If you think that no answer exists, enter in -1000.