(x-2)^2-18=0 pls help

Question

asked Feb 7, 2020 142k views

1 Answer

Hamza Usman Ghani · Answer 1 · 2020-02-14T03:21:46+0000

Answer:

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)