Problem 11

Algebra Level 5

\[\frac{(z+z\sqrt{xy})^2}{(x+y)(z^2+1)}+\frac{2z}{(1+z^2)\sqrt{1+z^2}}\]

Given that \(x,y,z\) are positive reals and \(x(1-yz)=y+z\). Find the maximum value of the expression above.

Give your answer to two decimal place.


This problem is in this Set.
×

Problem Loading...

Note Loading...

Set Loading...