Solve for x by completing a square: 3x^2 + 2x - 4 =0
3x^2 + 2x - 4 =0
3x^2 + 2x = 4
multiply by 4 * 3 (where 3 is the coefft of x^2)
36x^2 + 24x = 48
(36x^2 + 24x + 4) – 4 = 48 (here we complete the square)
(6x + 2)^2 – 4 = 48
(6x + 2)^2 = 52
(6x + 2) = ±√52
(3x + 1) = ±√13
3x + 1 = -√13, 3x + 1 = √13,
x = (-1 – √13)/3, x = (-1 + √13)/3