Find roots of polynomial $$ p(x) = x^5-57x^4+1299x^3-13191x^2+67438x-139604 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 5.317\\[1 em]x_2 &= 5.3445+4.5075i\\[1 em]x_3 &= 5.3445-4.5075i\\[1 em]x_4 &= 20.497+10.817i\\[1 em]x_5 &= 20.497-10.817i \end{aligned} $$Explanation
Polynomial $ x^5-57x^4+1299x^3-13191x^2+67438x-139604 $ 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