# Algebra vs. Trigonometry

Algebra Level 5

$\large P=x^{2}+\sqrt{7y}-z^2-2z$

Given that $x,y$ and $z$ are real numbers satisfying $x-\sqrt{y-1}(z+1)=\sqrt{yz^2+2yz-2z^2-4z}$ and $y\le2$, determine the maximum value of $P$.

×

Problem Loading...

Note Loading...

Set Loading...