Question
Find roots of polynomial $$ p(x) = \frac{1}{2}x^2+2x+2 $$
Answer
The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= -2 \end{aligned} $$Explanation
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 2 } $.
$$ \begin{aligned} \frac{1}{2}x^2+2x+2 & = 0 ~~~ / \cdot \color{blue}{ 2 } \\[1 em] x^2+4x+4 & = 0 \end{aligned} $$Step 2:
The solution of $ ~ x^2+4x+4 = 0 ~$ is $~ x = -2 ~$.
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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