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 \[ω^{4}-18ω^{2}-8ω+40.\]
by
Shivam Jadhav