Question 880913
{{{9x^2+16y^2-36x+96y+36=0}}}
{{{9x^2-36x+16y^2+96y+36=0}}}
{{{9(x^2-4x)+16(y^2+6y)+36=0}}}
{{{9(x^2-4x+4)+16(y^2+6y+9)+36=9*4+16*9}}}
{{{9(x-2)^2+16(y+3)^2+36=36+144}}}
{{{9(x-2)^2+16(y+3)^2=144}}}
{{{(x-2)^2/16+(y+3)^2/9=1}}}
It's an ellipse centered at ({{{2}}},{{{-3}}}) with {{{a=4}}} and {{{b=3}}}
So the domain is [{{{-2}}},{{{6}}}] and the range is [{{{-6}}},{{{0}}}].