Question

How do you solve `-9(x-3)^2=-7`?

Answer 1

`x = 3 pm sqrt(7)/3`

Explanation:

We need to solve for x. In order to isolate x, we first need to isolate the parenthesis:
`(x-3)^2 = (-7) / -9 = 7/9`
Next, we want to undo the squaring, so
`(x-3) = pm sqrt(7/9)`
Then we can add the 3 to get x alone:
`x = 3 pm sqrt(7)/3`

Since it is a second degree equation, the two values (plus and minus) makes sense.