Question
Find roots of polynomial $$ p(x) = 2000x^2+200x+20000 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -\dfrac{ 1 }{ 20 }+\dfrac{\sqrt{ 3999 }}{ 20 }i\\[1 em]x_2 &= -\dfrac{ 1 }{ 20 }- \dfrac{\sqrt{ 3999 }}{ 20 }i \end{aligned} $$Explanation
The solutions of $ 2000x^2+200x+20000 = 0 $ are: $ x = -\dfrac{ 1 }{ 20 }+\dfrac{\sqrt{ 3999 }}{ 20 }i ~ \text{and} ~ x = -\dfrac{ 1 }{ 20 }-\dfrac{\sqrt{ 3999 }}{ 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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