# Polynomial Root Manipulation

Algebra Level 4

Let $$x_1,x_2,$$ and $$x_3$$ be roots of $$x^3-9x^2+11x-1=0.$$ If $$y=\sqrt{x_1}+\sqrt{x_2}+\sqrt{x_3},$$ find the value of $\displaystyle |y^4-18y^2-8y|$

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