\[\large \dfrac{x^5 - x^2}{x^5 +y^2 + z^2} + \dfrac{y^5 - y^2}{y^5 +z^2 + x^2} + \dfrac{z^5 - z^2}{z^5 +y^2 + x^2} \]

Let \(x,y\) and \(z\) be positive real numbers satisfying \(xyz\geq 1 \), find the minimum value of the expression above.

×

Problem Loading...

Note Loading...

Set Loading...