Question

How do you solve `x^2+5x-2=0` by completing the square?

Answer 1

`f(x) = x^2 + 5x - 2 = 0`

`f(x) = x^2 + 5x + 25/4 - 25/4 - 2 = 0`

f(x) = (x + 5/2)^2 - 33/4 = 0

`(x + 5/2) = + (sqr33)/4 -> x = -5/2 + (sqr33)/4`

`x + 5/2 = -(sqr33)/4 -> x = -5/2 - (sqr33)/4`