Question

How do you solve `x^2 - 6x + 1 = 0` by completing the square?

Answer 1

`x = 3 +- 2sqrt2`

Explanation:

`x^2 - 6x = - 1`
`x^2 - 6x + 9 = - 1 + 9 = 8`
`(x - 3)^2 = 8`
`x - 3 = +- 2sqrt2`
`x = 3 +- 2sqrt2`