Question

Solve the equation…………….

Answer 1

Given equation :

`√(x - 2) = 4`

Squaring both sides

`( { √(x - 2) })^(2) = {(4)}^(2)`

`x - 2 = 16`

Move all terms containing x to the left, all other terms to the right.

`x = 16 + 2`

`x = 18`

Verification:

Put value the x in the given equation.

`√(x - 2) = 4`

`√(18 - 2) = 4`

`\sqrt {16} = 4`

`\sqrt {4 * 4 } = 4`

`4 = 4`

Hence, The answer is 18.

Answer 2

18

Explanation:

`√(x-2) =4\\x-2=16\\x=18`