Question

How do you solve `(4-x)^{2}=36`?

Answer 1

`x= -2`

Explanation:

`(4-x)^2 = 36`
Take the square root of each side.
`sqrt((4-x)^2) = sqrt36`
Simplifies it to:
`4-x = 6`
subtract 4 from each side:
`4-x-4 = 2-4`
simplifies it to:
`-x = 2`
Divide each side by -1:
`1x/-1 = 2/-1`
`x = -2`