Find roots of polynomial $$ p(x) = 5x^4-4x^3-20x^2+8x-20 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.0323\\[1 em]x_2 &= 2.4433\\[1 em]x_3 &= 0.1945+0.8762i\\[1 em]x_4 &= 0.1945-0.8762i \end{aligned} $$Explanation
Polynomial $ 5x^4-4x^3-20x^2+8x-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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