Solve the quadratic equation by completing the square 3x^2 - 6x-4=0

Step-by-step explanation:

3x² - 6x-4=0

3 (x² - 2x) - 4 = 0

3 (x²-2x+1-1) - 4 = 0 completing the square

3 ((x - 1) ² - 1) - 4 = 0

3 (x - 1) ² - 3 - 4 = 0

(x - 1) ² = 7/3

x - 1 = √ (7/3) or x - 1 = - √ (7/3)

x = 1+√ (7/3) or x = 1-√ (7/3)