The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4088\\[1 em]x_2 &= -2.2422 \end{aligned} $$The solutions of $ 12x^2+22x-11 = 0 $ are: $ x = -\dfrac{ 11 }{ 12 }-\dfrac{\sqrt{ 253 }}{ 12 } ~ \text{and} ~ x = -\dfrac{ 11 }{ 12 }+\dfrac{\sqrt{ 253 }}{ 12 }$.
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