Find roots of polynomial $$ p(x) = -5x^4+36x^2-36 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.0955\\[1 em]x_2 &= 1.0955\\[1 em]x_3 &= 2.4495\\[1 em]x_4 &= -2.4495 \end{aligned} $$Explanation
Polynomial $ -5x^4+36x^2-36 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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