The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= \frac{\sqrt{ 273 }}{ 21 }i\\[1 em]s_2 &= - \frac{\sqrt{ 273 }}{ 21 }i \end{aligned} $$The solutions of $ 21s^2+13 = 0 $ are: $ s = \dfrac{\sqrt{ 273 }}{ 21 } i ~ \text{and} ~ s = - \dfrac{\sqrt{ 273 }}{ 21 } i $.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.