Find roots of polynomial $$ p(x) = x^5-x^2+10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5055\\[1 em]x_2 &= 1.3068+0.8557i\\[1 em]x_3 &= 1.3068-0.8557i\\[1 em]x_4 &= -0.554+1.5542i\\[1 em]x_5 &= -0.554-1.5542i \end{aligned} $$Explanation
Polynomial $ x^5-x^2+10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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