Find roots of polynomial $$ p(x) = 200x^4-120000x^2+159996000 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 24.4378+17.2397i\\[1 em]x_2 &= 24.4378-17.2397i\\[1 em]x_3 &= -24.4378+17.2397i\\[1 em]x_4 &= -24.4378-17.2397i \end{aligned} $$Explanation
Polynomial $ 200x^4-120000x^2+159996000 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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