Question

Ali needs to solve the equation x^2 + 6x + 22 = 0 by completing the square. which pair of steps is the most efficient way to begin?

a. x^2 + 6x + 9 = -22 + 9

b. x^2 + 6x + 36 = -22 + 36

c. x^2 + 6x + 3 = -22 + 3

d. x^2 + 6x + 81 = -22 + 81

Answer 1

In TTM/Imagine Math it is top left or a.

Explanation:

Answer 2

a. x² + 6x + 9 = -22 + 9

Explanation:

they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.

then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.

if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.