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RMO practice question 7

Algebra Level 5

Let $a,b,c$ be the roots of $x^{3}-9x^{2}+11x-1=0$ and $ω=\sqrt{a}+\sqrt{b}+\sqrt{c}$ , the find the value of $ω^{4}-18ω^{2}-8ω+40.$

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Excel in math and science

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by Shivam Jadhav

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