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: 5x 2 - 6x - 2 = 0

Philoid · Accepted Answer

Given: 5x² - 6x - 2 = 0

25x² - 30x - 10 = 0 (multiplying both sides by 5)

25x² - 30x = 10

(adding on both sides)

using a² - 2ab + b² = (a - b)²

(taking square root on both sides)

Hence the roots of equation are