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Find the center of the circle with equation 9x^2 - 18x + 9y^2 + 45y - 44 = 0.

 Nov 28, 2021
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9x^2 - 18x + 9y^2 + 45y    = 44                 divide by  9

  x^2  -2x       + y^2 + 5y     = 44/9             complete the square for x and y

(x-1)^2          + (y+2.5)^2   = ..............           which shows the center to be   ( 1 , -2.5) .

 Nov 28, 2021

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