# 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.

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