Question
Find roots of polynomial $$ p(x) = -15x^2-108 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \dfrac{ 6 \sqrt{ 5}}{ 5 }i\\[1 em]x_2 &= -6 \dfrac{\sqrt{ 5 }}{ 5 }i \end{aligned} $$Explanation
The solutions of $ -15x^2-108 = 0 $ are: $ x = \dfrac{ 6 \sqrt{ 5}}{ 5 } i ~ \text{and} ~ x = -6 \dfrac{\sqrt{ 5 }}{ 5 } i $.
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