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 - 2x - 1 = 0

Philoid · Accepted Answer

Given: 3x² - 2x - 1 = 0

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

(adding on both sides)

using a² - 2ab + b² = (a - b)²

(taking square root on both sides)

3x - 1 = 2 or 3x - 1 = - 2

3x = 3 or 3x = - 1

Hence the roots of equation are