[tex] x^{2} + y^2 + 2x ⇒- 6y + 1 = 0
[/tex]
≡[tex] x^{2} + y^{2} + 2fx + 2gy + c = 0 [/tex]
[tex]Centre = (-f, -g)[/tex]
From the equation given:
[tex]2fx = 2x
2f = 2
f = 2/2
f = 1
-f = -1[/tex]
[tex]2gy = -6y
2g = -6
g = -6 / 2
g = -3
-g = -(-3)
-g = 3[/tex]
∴[tex]Centre = (-1, 3)[/tex]
