The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 6.2474\\[1 em]x_2 &= -18.2474 \end{aligned} $$The solutions of $ x^2+12x-114 = 0 $ are: $ x = -6-5 \sqrt{ 6 } ~ \text{and} ~ x = -6+5 \sqrt{ 6 }$.
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