The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -0.8688\\[1 em]s_2 &= 0.4344+2.3593i\\[1 em]s_3 &= 0.4344-2.3593i \end{aligned} $$Polynomial $ s^3+5s+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.