Find roots of polynomial $$ p(x) = -10x^2+10716x-3000000 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{ 2679 }{ 5 }+\frac{ 91 \sqrt{ 39}}{ 5 }i\\[1 em]x_2 &= \frac{ 2679 }{ 5 }-91 \frac{\sqrt{ 39 }}{ 5 }i \end{aligned} $$Explanation
The solutions of $ -10x^2+10716x-3000000 = 0 $ are: $ x = \dfrac{ 2679 }{ 5 }+\dfrac{ 91 \sqrt{ 39}}{ 5 }i ~ \text{and} ~ x = \dfrac{ 2679 }{ 5 }-\dfrac{ 91 \sqrt{ 39}}{ 5 }i$.
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