Are you smarter than a grade 9 student?

Algebra Level 4

\[\large x^2(x^2+1)+y^2(y^2+1)\]

Positive reals \(x\) and \(y\) satisfying the system of inequalities below.

\[\begin{cases} x\leq y\leq 2 \\ 2x+y\geq 2xy\end{cases}\]

Find the maximum value of the expression above.

This problem was taken from HSGS grade 10 selection test

Problem Loading...

Note Loading...

Set Loading...