The roots of polynomial $ p(t) $ are:
$$ \begin{aligned}t_1 &= 3i\\[1 em]t_2 &= -3i \end{aligned} $$The solutions of $ t^2+9 = 0 $ are: $ t = 3 i ~ \text{and} ~ t = -3 i $.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.