Question 182197
9x^2+4y^2-18x+16y=0
:
{{{9(x^2-2x+1)+4(y+4y+4)-9-16=0}}}
:
{{{9(x-1)^2+4(y+2)^2=25}}}
:
{{{9(x-1)^2/25+4(y+2)^2/25=1}}}
:
center is (1,-2) and this is an ellipse
:
x^2-4y^2-4x-8y-4=0
:
{{{(x^2-4x+4)-4(y^2-2y+1)-4+4-4=4}}}
:
{{{(x-2)^2-4(y-1)^2=4}}}
:
{{{(x-2)^2/4-(y-1)^2=1}}}
:
center is at (2,1) and this is a hyperbola