Find roots of polynomial $$ p(x) = 2x^6-59x^5+664x^4-3752x^3+11063x^2-15374x+17469 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 7.3412\\[1 em]x_2 &= 11.9748\\[1 em]x_3 &= 0.5765+1.6081i\\[1 em]x_4 &= 0.5765-1.6081i\\[1 em]x_5 &= 4.5155+3.6953i\\[1 em]x_6 &= 4.5155-3.6953i \end{aligned} $$Explanation
Polynomial $ 2x^6-59x^5+664x^4-3752x^3+11063x^2-15374x+17469 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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