The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 6.8541\\[1 em]x_2 &= 0.1459 \end{aligned} $$The solutions of $ x^2-7x+1 = 0 $ are: $ x = \dfrac{ 7 }{ 2 }-\dfrac{ 3 \sqrt{ 5}}{ 2 } ~ \text{and} ~ x = \dfrac{ 7 }{ 2 }+\dfrac{ 3 \sqrt{ 5}}{ 2 }$.
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