Question

How do you solve using the completing the square method `y=3x^2+24x+8`?

Answer 1

`x = - 4 +- (2sqrt30)/3`

Explanation:

`3x^2 + 24x = -8`.
Divide both sides by 3:
`x^2 + 8x = -8/3`
`x^2 + 8x + 16 = -8/3 + 16 = 40/3`
`(x + 4)^2 = 40/3`
`x + 4 = +-2sqrt10/sqrt3 = +- (2sqrt30)/3`
`x = -4 +- (2sqrt30)/3`