Just another Inequality Problem

Algebra Level 5

If x2+y2+z2=1x^2+y^2+z^2=1, find the value of EE given that x1x2+y1y2+z1z2E\dfrac{x}{1-x^2}+\dfrac{y}{1-y^2}+\dfrac{z}{1-z^2}\geq E.

Details: x,y,zx,y,z range over positive reals.

Round your answer to the nearest tenth.

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