SOLUTION: how do you classify this conic and write its equation in standard form and then how do you sketch its graph x square+ y square - 6x+ 4y +10= 0

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Question 260571: how do you classify this conic and write its equation in standard form and then how do you sketch its graph
x square+ y square - 6x+ 4y +10= 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2B+y%5E2-6x%2B+4y+%2B10=+0+
%28x%5E2-6x%29%2B+%28y%5E2%2B4y%29+%2B10=+0+
%28x%5E2-6x%2B9%29%2B+%28y%5E2%2B4y%2B4%29+%2B10=+9%2B4+
%28x-3%29%5E2%2B+%28y%2B2%29%5E2=+3+
Compare this to the general equation for a circle centered at (h,k) with a radius R is:
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
This equation is a circle centered at (3,-2) with a radius of R=sqrt%283%29.