Are you smarter than a grade 9 student?

Algebra Level 5

x2(x2+1)+y2(y2+1)\large x^2(x^2+1)+y^2(y^2+1)

Positive reals xx and yy satisfying the system of inequalities below.

{xy22x+y2xy\begin{cases} x\leq y\leq 2 \\ 2x+y\geq 2xy\end{cases}

Find the maximum value of the expression above.

This problem was taken from HSGS grade 10 selection test

Problem Loading...

Note Loading...

Set Loading...