The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 87.0156\\[1 em]x_2 &= 22.9844 \end{aligned} $$The solutions of $ x^2-110x+2000 = 0 $ are: $ x = 55-5 \sqrt{ 41 } ~ \text{and} ~ x = 55+5 \sqrt{ 41 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.