The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4351\\[1 em]x_2 &= 0.1149 \end{aligned} $$The solutions of $ 20x^2-11x+1 = 0 $ are: $ x = \dfrac{ 11 }{ 40 }-\dfrac{\sqrt{ 41 }}{ 40 } ~ \text{and} ~ x = \dfrac{ 11 }{ 40 }+\dfrac{\sqrt{ 41 }}{ 40 }$.
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