The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.1716\\[1 em]x_2 &= -5.8284 \end{aligned} $$The solutions of $ x^2+6x+1 = 0 $ are: $ x = -3-2 \sqrt{ 2 } ~ \text{and} ~ x = -3+2 \sqrt{ 2 }$.
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