# An algebra problem by Hana Nakkache

Algebra Level pending

If $$x,y$$ and $$z$$ are non-zero real numbers satisfying $$x+y+z= 0$$, what is the value of $$11 \left(\dfrac{x^2}{yz} + \dfrac{y^2}{xz} + \dfrac{z^2}{xy} \right)^2$$?

×