Question
Find roots of polynomial $$ p(x) = 57k^2+18230k-39630 $$
Answer
The roots of polynomial $ p(k) $ are:
$$ \begin{aligned}k_1 &= 2.1593\\[1 em]k_2 &= -321.9839 \end{aligned} $$Explanation
The solutions of $ 57k^2+18230k-39630 = 0 $ are: $ k = -\dfrac{ 9115 }{ 57 }-\dfrac{\sqrt{ 85342135 }}{ 57 } ~ \text{and} ~ k = -\dfrac{ 9115 }{ 57 }+\dfrac{\sqrt{ 85342135 }}{ 57 }$.
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