# Just another Inequality Problem

Algebra Level 5

If $x^2+y^2+z^2=1$, find the value of $E$ given that $\dfrac{x}{1-x^2}+\dfrac{y}{1-y^2}+\dfrac{z}{1-z^2}\geq E$.

### Details: $x,y,z$ range over positive reals.

Round your answer to the nearest tenth.

×