Answer:
The equation is (x + 1)^2 + (y + 2)^2 = 15
Center is at (-1, -2) and radius = √15
Step-by-step explanation:
2x^2 + 2y^2 + 4x + 8y - 20 = 0
Divide through by 2:-
x^2 + y^2 + 2x + 4y - 10 = 0
x^2 + 2x + y^2 + 4x = 10
Completing the square on the x and y terms:-
(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10
(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4
(x + 1)^2 + (y + 2)^2 = 15