Question

Solve work by using square root method

Answer 1

`x = - 2`

`x = 6`

Explanation:

`(x - 2)^(2) = 16`

`x - 2 = ± \: 4`

`x - 2 = - 4`

`x - 2 = 4`

`x = - 2`

`x = 6`

Answer 2

`~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm√(16)\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6`