Find roots of polynomial $$ p(x) = x^4+72x^2+36x+800 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.3952+3.6584i\\[1 em]x_2 &= -0.3952-3.6584i\\[1 em]x_3 &= 0.3952+7.6765i\\[1 em]x_4 &= 0.3952-7.6765i \end{aligned} $$Explanation
Polynomial $ x^4+72x^2+36x+800 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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