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2006 Algebra #6: Vieta's (Funky) Expressions

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July 30, 2012
Vieta

Problem Statement

Let a,b,ca,b,c be the roots of x3−9x2+11x−1=0x^3-9x^2+11x-1=0, and let s=a+b+cs=\sqrt{a}+\sqrt{b}+\sqrt{c}. Find s4−18s2−8ss^4-18s^2-8s.
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