Question

How do you solve `4x^2 + 2x - 1 = 0` by completing the square?

Answer 1

`x=(sqrt(5)-1)/4` or `x=-(sqrt(5)+1)/4`

Explanation:

Dividing by `4` we get
`x^2+1/2x-1/4=0`
completing the square
`(x+1/4)^2=5/16`
with the solutions above