Question

How do you solve `-3x^2+24x=27` by completing the square?

Answer 1

`x = 4 +- sqrt7`

Explanation:

Divide both sides by -3
`x^2 - 8x = -9`
`x^2 - 8x + 16 = -9 + 16 = 7`
`(x - 4)^2 = 7`
`(x - 4) = +- sqrt7`
`x = 4 +- sqrt7`