If - 1 is one of the roots of the equation 3x² - 2k - 2x - 1 = 0, find the value of k.

The value in k is k=12

k = 2

Step-by-step explanation:

Given that x = - 1 is a root of the equation, then it satisfies the equation.

Substitute x = - 1 into the equation and solve for k, that is

3 ( - 1) ² - 2k - 2 ( - 1) - 1 = 0

3 - 2k + 2 - 1 = 0

- 2k + 4 = 0 (subtract 4 from both sides)

- 2k = - 4 (divide both sides by - 2)

k = 2