# 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.

Inspiration

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