The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 12.8319\\[1 em]x_2 &= -6.8319 \end{aligned} $$The solutions of $ 3x^2-18x-263 = 0 $ are: $ x = 3-\dfrac{\sqrt{ 870 }}{ 3 } ~ \text{and} ~ x = 3+\dfrac{\sqrt{ 870 }}{ 3 }$.
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