The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 610.9525\\[1 em]x_2 &= 1.0475 \end{aligned} $$The solutions of $ x^2-612x+640 = 0 $ are: $ x = 306-2 \sqrt{ 23249 } ~ \text{and} ~ x = 306+2 \sqrt{ 23249 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.