How do you solve this by using square roots? 2(x-2)^2-8=-4

Question

How do you solve this by using square roots?


`2(x-2)^2-8=-4`

Answer 1

x = 2 ±
`√(2)`

Explanation:

isolate (x - 2)² by adding 8 to both sides and dividing by 2

2(x - 2)² = 4

(x - 2)² = 2 ( take the square root of both sides )

`√((x-2)^2)` = ±
`√(2)`

x - 2 = ±
`√(2)` ( add 2 to both sides )

x = 2 ±
`√(2)` ← solutions