The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 54.8266\\[1 em]x_2 &= -52.1123 \end{aligned} $$The solutions of $ 7x^2-19x-20000 = 0 $ are: $ x = \dfrac{ 19 }{ 14 }-\dfrac{\sqrt{ 560361 }}{ 14 } ~ \text{and} ~ x = \dfrac{ 19 }{ 14 }+\dfrac{\sqrt{ 560361 }}{ 14 }$.
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