Question

The factorisation x² + x + 1/4 is​

Answer 1

Step-by-step explanation:

${x}^{2} + x + \frac{1}{4} \\ = {x}^{2} + \frac{x}{2} + \frac{x}{2} + \frac{1}{4} \\ = x(x + \frac{1}{2} ) + \frac{1}{2} (x + \frac{1}{2} ) \\ = (x + \frac{1}{2} )(x + \frac{1}{2} )$