The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.2228\\[1 em]x_2 &= -3.7522 \end{aligned} $$The solutions of $ 17x^2+43x-78 = 0 $ are: $ x = -\dfrac{ 43 }{ 34 }-\dfrac{\sqrt{ 7153 }}{ 34 } ~ \text{and} ~ x = -\dfrac{ 43 }{ 34 }+\dfrac{\sqrt{ 7153 }}{ 34 }$.
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