find the standard form of the circle x^2+y^2-6x+2y-6=o?

Question

please help I am ready to fail this class

Answer 1

Standard form for a circle, with center at (h,k) is:
(x-h)^2 + (y-k)^2 = r^2, where r> 0.

Group terms:
(x^2 - 6x) + (y^2 + 2y) = 6

Complete the squares, in general: Given: x^2 + ax, add (a/2)^2 to both sides of the equation.
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Answer 2

wite as : (x+a)^2 +(y+b)^2 = o

(x -3)^2 -9 + (y+1)^2 -1 -6 = o

(x -3)^2 + (y+1)^2 = o + 9 + 1 + 7