What is the equation of the circle in center - radius form: x² + y2 + 12x -107 -7 = 0? (x +12)2 + (y - 25)2 = 68
(x +6)2 + (y - 5)2 = 61
(x - 6)2 + (y + 5)2 = 68
(x +6)2 + (y - 5)2 = 68

Please help will give BRAINLIEST

D

Step-by-step explanation:

We have the equation:

And we would like to convert this to an equation for a circle.

This will require completing the square. Thus, let’s factor group our factors. We will also move the constant to the right. Therefore:

To complete the square, we divide the b term by 2, square it, and then add the resulting constant to both sides.

Therefore, for the first term, we will have 12/2. 12/2 is 6. 6 squared is 36.

Hence, we would add 36 to both sides.

For the second term, we have -10/2. -10/2 is 5. 5 squared is 25. Hence, we would add 25 to both sides.

This yields:

We can now factor the two terms using the perfect square trinomial pattern. We will also add on the right. Hence, our equation is:  

Therefore, our answer is D.

666666666666666666666

6

6

6

6

6

6

6

66

6

6

6

66

6

66answer:

step-by-step explanation: