Question

How do you solve using the completing the square method `9x^2-12x-2=0`?

Answer 1

`x=(2+sqrt(6))/3`
`x=(2-sqrt(6))/3`

Explanation:

`9x^2-12x-2=0`
or
`(3x)^2-2(3x)(2)+2^2-2^2-2=0`
or
`(3x-2)^2=6`
or
`3x-2=+-sqrt(6)`
or
`3x=2+-sqrt6`
or
`x=(2+-sqrt6)/3`
or
`x=(2+sqrt(6))/3`
or
`x=(2-sqrt(6))/3`