The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 23.9297\\[1 em]s_2 &= -13.9297 \end{aligned} $$The solutions of $ 3s^2-30s-1000 = 0 $ are: $ s = 5-\dfrac{ 5 \sqrt{ 129}}{ 3 } ~ \text{and} ~ s = 5+\dfrac{ 5 \sqrt{ 129}}{ 3 }$.
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