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: 8x 2 - 14x - 15 = 0

Philoid · Accepted Answer

Given: 8x² - 14x - 15 = 0

16x² - 28x - 30 = 0 (multiplying both sides by 2)

16x² - 28x = 30

(adding on both sides)

using a² - 2ab + b² = (a - b)²

(taking square root on both sides)

Hence the roots of equation are