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: 2x 2 + 5x - 3 = 0

Philoid · Accepted Answer

Given: 2x² + 5x - 3 = 0

4x² + 10x - 6 = 0 (multiplying both sides by 2)

4x² + 10x = 6

(adding on both sides)

using a² + 2ab + b² = (a + b)²

(taking square root on both sides)

Hence the roots of equation are