Question
Find roots of polynomial $$ p(x) = -7x^2-5x-10000 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -\dfrac{ 5 }{ 14 }+\dfrac{ 5 \sqrt{ 11199}}{ 14 }i\\[1 em]x_2 &= -\dfrac{ 5 }{ 14 }-5 \dfrac{\sqrt{ 11199 }}{ 14 }i \end{aligned} $$Explanation
The solutions of $ -7x^2-5x-10000 = 0 $ are: $ x = -\dfrac{ 5 }{ 14 }+\dfrac{ 5 \sqrt{ 11199}}{ 14 }i ~ \text{and} ~ x = -\dfrac{ 5 }{ 14 }-\dfrac{ 5 \sqrt{ 11199}}{ 14 }i$.
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