The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 266.3037\\[1 em]x_2 &= 0.363 \end{aligned} $$The solutions of $ -3x^2+800x-290 = 0 $ are: $ x = \dfrac{ 400 }{ 3 }-\dfrac{\sqrt{ 159130 }}{ 3 } ~ \text{and} ~ x = \dfrac{ 400 }{ 3 }+\dfrac{\sqrt{ 159130 }}{ 3 }$.
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