Find roots of polynomial $$ p(x) = x^4-9x^3+20 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3794\\[1 em]x_2 &= 8.9723\\[1 em]x_3 &= -0.6758+1.0767i\\[1 em]x_4 &= -0.6758-1.0767i \end{aligned} $$Explanation
Polynomial $ x^4-9x^3+20 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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