The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.8042\\[1 em]x_2 &= -0.5542 \end{aligned} $$The solutions of $ -4x^2+5x+4 = 0 $ are: $ x = \dfrac{ 5 }{ 8 }-\dfrac{\sqrt{ 89 }}{ 8 } ~ \text{and} ~ x = \dfrac{ 5 }{ 8 }+\dfrac{\sqrt{ 89 }}{ 8 }$.
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