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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 -

    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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