Find roots of polynomial $$ p(x) = -2x^5+3x^4-6x-5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.679\\[1 em]x_2 &= -0.4497+1.0054i\\[1 em]x_3 &= -0.4497-1.0054i\\[1 em]x_4 &= 1.5392+0.8161i\\[1 em]x_5 &= 1.5392-0.8161i \end{aligned} $$Explanation
Polynomial $ -2x^5+3x^4-6x-5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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