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: x 2 - 6x + 3 = 0

Philoid · Accepted Answer

Given: x² - 6x + 3 = 0

x² - 6x = - 3

x² - 2.x.3 + 3² = - 3 + 3² (adding 3² on both sides)

(x - 3)² = - 3 + 9 = 6 using a² - 2ab + b² = (a - b)²

(taking square root on both sides)

Hence the roots of equation are