Find roots of polynomial $$ p(x) = x^2+700+50000 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 130 \sqrt{ 3 }i\\[1 em]x_2 &= -130 \sqrt{ 3 }i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^2+ \color{blue}{700} + \color{blue}{50000} = x^2+ \color{blue}{50700} $$Step 2:
The solutions of $ x^2+50700 = 0 $ are: $ x = 130 \sqrt{ 3 } i ~ \text{and} ~ x = -130 \sqrt{ 3 } 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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