Show how to solve 5x^2+20x+13=0 by completing the square. You must show all work and steps.

5x^2 + 20x + 13 = 0

Divide through by 5:-

x^2 + 4x + 13/5 = 0

(x + 2) ^2 - 4 = - 13/5 = - 2.6

(x + 2) ^2 = - 2.6 + 4 = 1.4

x + 2 = + / - sqrt1.4

x = - 2 + sqrt1.4, - sqrt1.4 - 2

the roots are - 0.817, - 3.183 to nearest thousandth