Definitely not \(x=y=z\)

Algebra Level 5

Let \(x, y, z\) be distinct positive reals satisfying \(xy+yz=2{ z }^{ 2 }\) and \(2x\le z\). Find the maximum value of

\[\large \frac { x }{ x-y } +\frac { y }{ y-z } +\frac { z }{ z-x } \]

Write your answer to 4 decimal places.

×

Problem Loading...

Note Loading...

Set Loading...