Question

(x-1/2)²=4 by factorisation​

Answer 1

Step-by-step explanation:

x^2 - 2 × x × 1 / 2. + ( 1 / 2 )^ 2

= x^2 - x + 1 / 4.

Answer 2

Step-by-step explanation:

Let (x-1/2) be y.

${y}^{2} = 4 = > {y}^{2} - 4 = 0 = >$

$(y - 2)(y + 2) = 0 = > y - 2 = 0 \: o r$

$y + 2 = 0 = > y = 2 \: or \: - 2$

Hence (x-1/2) = 2 or -2 => x = 2+1/2 or -2+1/2 =>x = 4+1/2 or -4+1/2 =>x= 5/2 or -3/2. Hope it helps you.