3x^2 - x - 2 = 0. my homework wants me to solve this quadratic equation and show all the work

x = 1, - 2/3

Step-by-step explanation:

1.

Use the Quadratic Formula.

-b ± √b^2 - 4 (ac)

over 2a.

2.

Substitute a = 3, b = - 1, and c = - 2

1 ± √ (-1) ^2 - 4 ((3) (-2))

over 2 (3)

3.

Simplify.

x = 1 ± 5 / 6

4.

Answer.

x = 1, - 2/3