The roots of polynomial $ p(z) $ are:
$$ \begin{aligned}z_1 &= -0.2679\\[1 em]z_2 &= -3.7321 \end{aligned} $$The solutions of $ z^2+4z+1 = 0 $ are: $ z = -2-\sqrt{ 3 } ~ \text{and} ~ z = -2+\sqrt{ 3 }$.
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