Find roots of polynomial $$ p(x) = x^5-6x^2+9x-11 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.6596\\[1 em]x_2 &= 0.5868+1.039i\\[1 em]x_3 &= 0.5868-1.039i\\[1 em]x_4 &= -1.4166+1.6274i\\[1 em]x_5 &= -1.4166-1.6274i \end{aligned} $$Explanation
Polynomial $ x^5-6x^2+9x-11 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
This page was created using
Polynomial Roots Calculator