Solve each of the following equations by using the method of completing the square:

3x^{2} - x - 2 = 0

Given: 3x^{2} - x - 2 = 0

9x^{2} - 3x - 6 = 0 (multiplying both sides by 3)

9x^{2} - 3x = 6

(adding on both sides)

using a^{2} - 2ab + b^{2} = (a - b)^{2}

(taking square root on both sides)

Hence the roots of equation are

6