Question

Solve. x² + 6x + 9 = 12 (Choices in photo)

Answer 1

X^2 + 6x + 9 = 12

X^2 + 6x - 3 = 0

(-6 ± √(6^2 - 4*1*-3) ) / 2

3 ± √(48) / 2

3 ± 4√(3) / 2

3 ± 2√(3)

Answer 2

To solve this problem and to calculate the value of the variable "x", you must apply the following proccedure:

 1. You have the quadratic equation:

 x²+6x+9=12

 2. Then:

 x²+6x+9-12=0
 x²+6x-3=0

 3. You must apply the quadratic formula, which is:

 (-b±√(b^2-4ac))/2a

 a=1
 b=6
 c=-3

 4. Then, the result is:

 x=-3±2√3

 Therefore, the correct option is the first one: x=-3±2√3