Question

(x-2)^2-18=0 pls help​

Answer 1

`x=2- 3√(2)` or
`x=2+3√(2)`

Explanation:

We want to solve for x in the equation;

`(x-2)^2-18=0`

Add 18 to both sides

`(x-2)^2=18`

We solve by the square root method.

`x-2=\pm √(18)`

`x-2=\pm 3√(2)`

Add 2 to both sides

`x=2\pm 3√(2)`

Split the plus or minus sign.

`x=2- 3√(2)` or
`x=2+3√(2)`

Therefore the exact solution is
`x=2- 3√(2)` or
`x=2+3√(2)`