The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -3.875\\[1 em]s_2 &= -516.125 \end{aligned} $$The solutions of $ 2s^2+1040s+4000 = 0 $ are: $ s = -260-40 \sqrt{ 41 } ~ \text{and} ~ s = -260+40 \sqrt{ 41 }$.
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