Answer:
x = -2 ±sqrt(7)
Explanation:
x^2 +4x =3
We will complete the square
Take the coefficient of the x term, divide by 2 and then square it
4, then divide by 2
4/2
Then square it
2^2 =4
Add 4 to each side
x^2 +4x +4 = 3+4
The left side is equal to (x+ the coefficent /2 )^2
(x+2)^2 = 7
Take the square root of each side
sqrt((x+2)^2) = ±sqrt(7)
x+2 = ±sqrt(7)
Subtract 2 from each side
x+2-2 = -2±sqrt(7)
x = -2 ±sqrt(7)