Question

What equation results from completing the square and then factoring?

x^2 + 4x = 5

A. (x + 2)^2 = 3

B. (x + 2)^2 = 7

C. (x + 2)^2 = 1

D. (x + 2)^2 = 9

Answer 1

(x+2)^2 = 9

Explanation:

To complete the square we need to add 4 to both sides of the equation,

Why we add 4 to both sides? Because if we add it to one side only, the equation will turn into an inequation

x^2 + 4x + 4 = 5 + 4

x^2 + 4x + 4 = 9 and the factor of the expression is (x+2)*(x+2) = 9

(x+2)^2 = 9