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

5x^{2} - 6x - 2 = 0

Given: 5x^{2} - 6x - 2 = 0

25x^{2} - 30x - 10 = 0 (multiplying both sides by 5)

25x^{2} - 30x = 10

(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

10