The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 16.0338\\[1 em]x_2 &= -251.6702 \end{aligned} $$The solutions of $ 44x^2+10368x-177550 = 0 $ are: $ x = -\dfrac{ 1296 }{ 11 }-\dfrac{\sqrt{ 8671514 }}{ 22 } ~ \text{and} ~ x = -\dfrac{ 1296 }{ 11 }+\dfrac{\sqrt{ 8671514 }}{ 22 }$.
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