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

Question

Solve each of the following equations by using the method of completing the square: 3x 2 - x - 2 = 0

Philoid · Accepted Answer

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