Find roots of polynomial $$ p(x) = 160x^4-2985x^3+18130x^2-37184x+46639 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1617+1.6553i\\[1 em]x_2 &= 1.1617-1.6553i\\[1 em]x_3 &= 8.1664+2.1411i\\[1 em]x_4 &= 8.1664-2.1411i \end{aligned} $$Explanation
Polynomial $ 160x^4-2985x^3+18130x^2-37184x+46639 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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