The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 374.1694\\[1 em]x_2 &= 261.8306 \end{aligned} $$The solutions of $ x^2-636x+97969 = 0 $ are: $ x = 318-\sqrt{ 3155 } ~ \text{and} ~ x = 318+\sqrt{ 3155 }$.
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