# An algebra problem by Gurīdo Cuong

Algebra Level 4

$\large \dfrac{\sqrt{x}}{x^2+1+2\sqrt{xy}}+\dfrac{\sqrt{y}}{y^2+1+2\sqrt{2y-xy}}+\dfrac{\sqrt{2-x}}{x^2-4x+5+2\sqrt{2x-x^2}}$

If $$x$$ and $$y$$ are real numbers satisfying $$\dfrac{1}{\sqrt{x}}+\dfrac{1}{\sqrt{y}}+\dfrac{1}{\sqrt{2-x}}=3$$, find the maximum value of the expression above.

×

Problem Loading...

Note Loading...

Set Loading...