Solve each of the following equations by using the method of completing the square:

2x^{2} + 5x - 3 = 0

Given: 2x^{2} + 5x - 3 = 0

4x^{2} + 10x - 6 = 0 (multiplying both sides by 2)

4x^{2} + 10x = 6

(adding on both sides)

using a^{2} + 2ab + b^{2} = (a + b)^{2}

(taking square root on both sides)

Hence the roots of equation are

5