Question

Three times the square of the difference of x and 6 is 12​

Answer 1

The answer is x=4 or x=8

Explanation:

Answer 2

Equation:
`3(x-6)^2=12`

Solutions:
`x=4\text{ or }x=8`

Explanation:

Unknown variable
`= x`

Difference of x and 6
`= x - 6`

Square of the difference of x and 6
`=(x-6)^2`

Three times the square of the difference of x and 6
`=3(x-6)^2`

Three times the square of the difference of x and 6 is 12, then

`3(x-6)^2=12`

Divide this equation by 3:

`(x-6)^2 =4`

Now

`x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4`