(transforming G.E to S.E) circle

Standard equation of circle if not in origin

(x-h)²+(y-k)=r²

General equation of circle if in origin

Ax²+Bx²+Cx+Dy+E=0

x²+y²-10x+4y-7=0

x-10x+y²+4y=7 (x²-10x+25)+(y²+4y+4)=7+25+4 S.F(x-5)²+(y+2)²=36

x²+y²+2x-6y-15=0

x²+2x+y²-6y=15 (x²+2x+1)+(y²-6y+9)=15+1+9 S.F (x+1)²+(y-3x)²=25

General Equation of circle if not in origin

x²+y²+Cx+Dy+E=0

Standard equation of circle in origin

x²+y²=r²