The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 4.4495\\[1 em]x_2 &= -0.4495 \end{aligned} $$The solutions of $ x^2-4x-2 = 0 $ are: $ x = 2-\sqrt{ 6 } ~ \text{and} ~ x = 2+\sqrt{ 6 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.