Question

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

Answer 1

`x = -3 +- 2sqrt2`

Explanation:

`x^2 + 6x = -1`
`x^2 + 6x + 9 = -1 + 9 = 8`
`(x + 3)^2 = 8`
`(x + 3) = sqrt8 = 2sqrt2`
`x = - 3 +- 2sqrt2`