The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 26.1803\\[1 em]x_2 &= 3.8197 \end{aligned} $$The solutions of $ -x^2+30x-100 = 0 $ are: $ x = 15-5 \sqrt{ 5 } ~ \text{and} ~ x = 15+5 \sqrt{ 5 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.