Jumping Exponents

Algebra Level 5

\[\begin{cases} x + y + z = 0 \\ x^4 + y^4 + z^4 = 18 \\ x^5 + y^5 + z^5 = 30 \end{cases}\]

For \( x \geq y \geq z\) satisfying the system of equations above. Find the value of \(z + y\sqrt{x}\) rounded to the nearest tenth.

×

Problem Loading...

Note Loading...

Set Loading...