Find roots of polynomial $$ p(x) = x^5-x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1673\\[1 em]x_2 &= 0.1812+1.084i\\[1 em]x_3 &= 0.1812-1.084i\\[1 em]x_4 &= -0.7649+0.3525i\\[1 em]x_5 &= -0.7649-0.3525i \end{aligned} $$Explanation
Polynomial $ x^5-x-1 $ 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