The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 14.1962\\[1 em]x_2 &= 3.8038 \end{aligned} $$The solutions of $ x^2-18x+54 = 0 $ are: $ x = 9-3 \sqrt{ 3 } ~ \text{and} ~ x = 9+3 \sqrt{ 3 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.