Question

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

Answer 1

the equation is in the form of `ax^2 + bx +c = d`
to complete a square we divide `(b/2)^2` and substitute it for `c`, and add/subtract the same on the other side with `d`.
then solve for `x`
`x^2 +2x + 1=5+1`
`(x+1)^2 = 6`
`x + 1 =` `+-` `sqrt`6
`x=` `-1+-` `sqrt`6