The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 8.4721\\[1 em]x_2 &= -0.4721 \end{aligned} $$The solutions of $ -x^2+8x+4 = 0 $ are: $ x = 4-2 \sqrt{ 5 } ~ \text{and} ~ x = 4+2 \sqrt{ 5 }$.
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