The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -6.5202\\[1 em]s_2 &= -613.4798 \end{aligned} $$The solutions of $ s^2+620s+4000 = 0 $ are: $ s = -310-10 \sqrt{ 921 } ~ \text{and} ~ s = -310+10 \sqrt{ 921 }$.
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