Question

Use completing the square to solve the equation x2+16x=−44 . First determine the number you must add to both sides of the equation.

Answer 1

Answer:

x = -8 ± √(56)

Step-by-step explanation:

    x2 +16x = -8    

 

Add 64 to both sides:                   x2 + 16x + 64 = -8 + 64

 

Factor and simplify:                     (x + 8)2 = 56

 

Use the square root method:     x + 8 = ± √(56)

 

Subtract 8 from both sides:        x = -8 ± √(56)                

Answer 2

Answer: b

Step-by-step explanation:

Yes