Find the center and the radius and the center of the circle with the given equations:

Answer:
3. (-1 , 3) , 4
4. (0 , -7), 8
Step-by-step explanation:
circle: (x-h)² + (y-k)² = r²
3. x²+2x+y²-6y-6 =0
(x²+2x+1) + (y²-6y+9) -16 =0
(x+1)² + (y-3)² = 4²
center(-1 , 3) radius: 4
4. x²+y²+14y-15=0
(x+0)² + (y²+14y+7²) - 64 = 0
(x+0)² + (y+7)² = 8²
center: (0 , -7) radius: 8
Answer:
3. Center = (-1,3) Radius = 4
4. Center = (0,-7) Radius = 8
use completion of squares to find the solution, if you do not understand what this means, there is a great video on utube by the channel Prep Expert that explains finding the center of a circle based on an equation.