Question

How do you solve by completing the square for `x^2-7x+12=0`?

Answer 1

`f(x) = x^2 - 7x + 49/4 - 49/4 + 12 = 0`

`f(x) = (x - 7/2)^2 - 49/4 + 48/4 = 0`

`(x - 7/2) = +- 1/2`

`x = 7/2 +- 1/2`

`x = 8/2 = 4`
or
`x=6/2 =3`