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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