Find roots of polynomial $$ p(x) = -10x^4+12x^3-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.0185+0.4136i\\[1 em]x_2 &= 1.0185-0.4136i\\[1 em]x_3 &= -0.4185+0.5669i\\[1 em]x_4 &= -0.4185-0.5669i \end{aligned} $$Explanation
Polynomial $ -10x^4+12x^3-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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