Answer:
x = -3+2√3,-3-2√3
Explanation:
x^2 +6x -3 =0
Add 3 to each side.
x^2 +6x -3+3 =0+3
x^2 +6x =3
Take the coefficient of the x term, divide by 2, and then square it.
6/2 = 3
3^2 =9
Add this to each side.
x^2+6x+9 = 3+9
x^2 + 6x+9 = 12
Factor.
(x+3)^2 = 12
Take the square root of each side
x+3 = ±√12
x+3 = ±2√3
Subtract 3 from each side
x+3-3 = -3±2√3
x = -3±2√3
x = -3+2√3,-3-2√3