Answer:
49
Step-by-step explanation:
To complete the square for the equation x^2 + 14x = -22, Marshall needs to follow these steps:
1. Move the constant term to the other side of the equation:
x^2 + 14x + 22 = 0
2. To complete the square, take half of the coefficient of x (which is 14/2 = 7) and square it (which is 7^2 = 49).
3. Add 49 to both sides of the equation:
x^2 + 14x + 49 + 22 = 49
(x + 7)^2 = 49
So, the equation in the form (x + p)^2 = q is (x + 7)^2 = 49.
