9514 1404 393
Answer:
(x +5)^2 +(y -3)^2 = 36
Explanation:
Add the squares of half the linear term coefficients, then rewrite using squares. You get the standard form equation of a circle.
x^2 +10x +y^2 -6y = 2
(x^2 +10x +5^2) +(y^2 -6x +(-3)^2) = 2 +5^2 +(-3)^
(x +5)^2 +(y -3)^2 = 36 . . . . . circle centered at (-5, 3) with radius 6