Question

How do you solve using the completing the square method `3x^2 + 11x - 4 = 0`?

Answer 1

-4; `1/3`

Explanation:

`3x^2 + 11x = 4`
Divide both sides by 3:
`x^2 + (11x)/3 = 4/3`
`x^2 + (11x)/3 + 121/36 = 4/3 + 121/36`
`(x + 11/6)^2 = 169/36`
`x + 11/6 = +- 13/6`
`x = - 11/6 +- 13/6`
`x1 = - 24/6 = - 4`
`x2 = 2/6 = 1/3`