Solve of x ^ 2 - x + 1/4 is | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x ^ { 2 } - x + \frac { 1 } { 4 }$$

Factor

$\frac{\left(2x-1\right)^{2}}{4}$

Solution Steps

Factor out $\frac{1}{4}$.

$$\frac{4x^{2}-4x+1}{4}$$

Consider $4x^{2}-4x+1$. Use the perfect square formula, $a^{2}-2ab+b^{2}=\left(a-b\right)^{2}$, where $a=2x$ and $b=1$.

$$\left(2x-1\right)^{2}$$

Rewrite the complete factored expression.

$$\frac{\left(2x-1\right)^{2}}{4}$$

Evaluate

$\frac{\left(2x-1\right)^{2}}{4}$