The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4142\\[1 em]x_2 &= -2.4142 \end{aligned} $$The solutions of $ -x^2-2x+1 = 0 $ are: $ x = -1-\sqrt{ 2 } ~ \text{and} ~ x = -1+\sqrt{ 2 }$.
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