Question

factorize [x-1/2]²=4​

Answer 1

Answer:

x=3/2

Step-by-step explanation:

x-1/2=2

2x-1=4

2x=3

x=3/2

Answer 2

Step-by-step explanation:

Let (x-1/2) be y.

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

2

=4=>y

2

−4=0=>

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

y + 2 = 0 = > y = 2 \: or \: - 2y+2=0=>y=2or−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....

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