Question

factorise the following x²-x+1/4​

Answer 1

Answer:$(x - \frac{1}{2} )(x - \frac{1}{2} )$

Step-by-step explanation:

We have,

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

$= {(x)}^{2} - 2(x)( \frac{1}{2} ) + {( \frac{1}{2} )}^{2}$

$= {(x - \frac{1}{2} )}^{2}$

$= (x - \frac{1}{2} )(x - \frac{1}{2} )$