Question
Find roots of polynomial $$ p(x) = -15x^2+1010x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 67.3323\\[1 em]x_2 &= 0.001 \end{aligned} $$Explanation
The solutions of $ -15x^2+1010x-1 = 0 $ are: $ x = \dfrac{ 101 }{ 3 }-\dfrac{\sqrt{ 255010 }}{ 15 } ~ \text{and} ~ x = \dfrac{ 101 }{ 3 }+\dfrac{\sqrt{ 255010 }}{ 15 }$.
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