Question
Find roots of polynomial $$ p(x) = h^2+15h+75 $$
Answer
The roots of polynomial $ p(h) $ are:
$$ \begin{aligned}h_1 &= -\dfrac{ 15 }{ 2 }+\dfrac{ 5 \sqrt{ 3}}{ 2 }i\\[1 em]h_2 &= -\dfrac{ 15 }{ 2 }-5 \dfrac{\sqrt{ 3 }}{ 2 }i \end{aligned} $$Explanation
The solutions of $ h^2+15h+75 = 0 $ are: $ h = -\dfrac{ 15 }{ 2 }+\dfrac{ 5 \sqrt{ 3}}{ 2 }i ~ \text{and} ~ h = -\dfrac{ 15 }{ 2 }-\dfrac{ 5 \sqrt{ 3}}{ 2 }i$.
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