Since this is a circle and the x² and y² terms have the same coefficient, we can actually divide through by 3 to make the coefficients 1.
3x² + 2x + 3y² - 7y - 10 = 0
x² + 2/3 x + y² - 7/3 y = 10
x² + 2/3 + 1/9 + y² - 7/3 y + 49/36 = 10 + 1/9 + 49/36
(x + 1/3)² + (y - 7/6)² = 413/36
The center is (-1/3, 7/6) and the radius is sqrt(413) / 6.
this was answered 1 year ago by Shirley
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http://answers.yahoo.com/question/index?qid=20120302204142AARc8xk
