Find roots of polynomial $$ p(x) = 5x^4-12x+9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8686+0.2525i\\[1 em]x_2 &= 0.8686-0.2525i\\[1 em]x_3 &= -0.8686+1.2022i\\[1 em]x_4 &= -0.8686-1.2022i \end{aligned} $$Explanation
Polynomial $ 5x^4-12x+9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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