Question
Find roots of polynomial $$ p(x) = 10s^2+59s+119 $$
Answer
The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= -\dfrac{ 59 }{ 20 }+\dfrac{\sqrt{ 1279 }}{ 20 }i\\[1 em]s_2 &= -\dfrac{ 59 }{ 20 }- \dfrac{\sqrt{ 1279 }}{ 20 }i \end{aligned} $$Explanation
The solutions of $ 10s^2+59s+119 = 0 $ are: $ s = -\dfrac{ 59 }{ 20 }+\dfrac{\sqrt{ 1279 }}{ 20 }i ~ \text{and} ~ s = -\dfrac{ 59 }{ 20 }-\dfrac{\sqrt{ 1279 }}{ 20 }i$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
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