Solve for x. 3x^2-4x-2=0 enter your simplified answers, as exact values, in the boxes. x= or x=

Answer

1.72   or    -0.387

Explanation

3x²-4x-2=0

3x²-4x = 2

x² - (4/3)x = 2/3

x² - (4/3)x + (2/3)² = 2/3 + 4/9

(x - 2/3)² = 10/9

x - 2/3 = √10/3                            or     x - 2/3 = -√10/3

x = √10/3 + 2/3                           or     x = -√10/3 + 2/3

   = 1.72                                or                 = -0.387