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 \( 11 \left(\dfrac{x^2}{yz} + \dfrac{y^2}{xz} + \dfrac{z^2}{xy} \right)^2 \)?

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