Posted by **Anonymous** on Saturday, September 5, 2009 at 2:16pm.

What are the coordinates of the center of a circle with the equation x^2-6x+y^2+4y=20?

All help is appreciated.

- Math -
**MathMate**, Saturday, September 5, 2009 at 3:00pm
The centre of the circle

C : (x-x1)² + (y-y1)² = r²

is at (x1,y1).

For the given circle, the centre can be found by completing the squares, namely:

x^2-6x+y^2+4y=20

(x-3)²-9 + (y+2)²-4 = 20

(x-3)² + (y+2)² =33

Can you find the centre of the circle?

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