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