Question 1170851


 {{{x^2+y^2-4x+2y+3=0 }}} ...group

{{{(x^2-4x)+(y^2+2y)=-3}}}...complete square

{{{(x^2-4x+b^2)-b^2+(y^2+2y+b^2)-b^2=-3}}}

{{{(x^2-4x+2^2)-2^2+(y^2+2y+1^2)-1^2=-3}}}

{{{(x- 2)^2-4+(y+1)^2-1=-3}}}

{{{(x- 2)^2+(y+1)^2=-3+4+1}}}

{{{(x- 2)^2+(y+1)^2=2}}}