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

3x2 - x - 2 = 0

Given: 3x2 - x - 2 = 0

9x2 - 3x - 6 = 0 (multiplying both sides by 3)


9x2 - 3x = 6


(adding on both sides)


using a2 - 2ab + b2 = (a - b)2


(taking square root on both sides)





Hence the roots of equation are


6