Question

Solve the quadratic equation by completing the square. 3x2 - 6x - 4 = 0

Answer 1

Answer:

-0.53, 2.53 to the nearest hundredth.

Step-by-step explanation:

3x^2 - 6x - 4 = 0    

3(x^2 - 2) - 4 = 0

3 [ ( x - 1)^2 - 1] = 4

3(x - 1)^2 - 3 = 4

3(x - 1)^2 = 7

(x - 1)^1 = 7/3

x - 1 = +/- √(7/3)

x =   +/- √(7/3) + 1

x = 2.53, -0.53.