Find roots of polynomial $$ p(x) = 2x^5-5x^4+7x^3-x^2+5x-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8409\\[1 em]x_2 &= -0.4959+0.8334i\\[1 em]x_3 &= -0.4959-0.8334i\\[1 em]x_4 &= 1.3255+1.4272i\\[1 em]x_5 &= 1.3255-1.4272i \end{aligned} $$Explanation
Polynomial $ 2x^5-5x^4+7x^3-x^2+5x-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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