x^2 + y^2 + 14x + 2y + 14 = 0
Subtract 14 from both sides:
2 + y2 + 14x + 2y = -14
Complete the square for x^2 +14x:
(x+7)^2 -49
Now you have:
(x+7)^2 -49 +y^2+2y = -14
Complete the square for y^2 +2y:
(y+1)^2 -1
Now you have:
(x+7)^2 -49 + (y+1)^2 -1 = -14
Add 50 to each sides:
(x+7)^2 + (y+1)^2 = 36
The form of a circle is (x-h)^2 + (y-k)^2 = r^2
H and k are the center point and r is the radius.
H = -7, K = -1, r = √36 = 6
The answer is D. (-7, -1), 6 units
