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: 4x 2 + 4bx - (a 2 - b 2 ) = 0

Philoid · Accepted Answer

4x² + 4bx = (a² - b²)

(adding on both sides)

using a² + 2ab + b² = (a + b)²

(taking square root on both sides)

2x + b = - a or 2x + b = a

Hence the roots of equation are