Find roots of polynomial $$ p(x) = 6x^5-8x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.125\\[1 em]x_2 &= -1.0407\\[1 em]x_3 &= 1.1038\\[1 em]x_4 &= 0.031+1.0768i\\[1 em]x_5 &= 0.031-1.0768i \end{aligned} $$Explanation
Polynomial $ 6x^5-8x-1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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