Find roots of polynomial $$ p(x) = t^2-2200+5350 $$
Answer
The roots of polynomial $ p(t) $ are:
$$ \begin{aligned}t_1 &= 15 \sqrt{ 14 }i\\[1 em]t_2 &= -15 \sqrt{ 14 }i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ t^2 \color{blue}{-2200} + \color{blue}{5350} = t^2+ \color{blue}{3150} $$Step 2:
The solutions of $ t^2+3150 = 0 $ are: $ t = 15 \sqrt{ 14 } i ~ \text{and} ~ t = -15 \sqrt{ 14 } 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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