Find roots of polynomial $$ p(x) = 64x^3-128x^2+84x-19 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.9387\\[1 em]x_2 &= 0.5306+0.1862i\\[1 em]x_3 &= 0.5306-0.1862i \end{aligned} $$Explanation
Polynomial $ 64x^3-128x^2+84x-19 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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