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You can put this solution on YOUR website!
I know this equation is an ellipse, I'm just trying to figure out how to get it to the ellipse equation:
\n" ); document.write( "2x^2+12x+18+y^2=3(2+y^2)+4y
\n" ); document.write( "distribute:
\n" ); document.write( "2x^2+12x+18+y^2=6+3y^2+4y
\n" ); document.write( "combine like terms:
\n" ); document.write( "2x^2+12x-2y^2-4y=-12
\n" ); document.write( "complete the square:
\n" ); document.write( "2(x^2+6x+9)-2(y^2+2y+1)=-12-2+18
\n" ); document.write( "2(x+3)^2-2(y+1)^2=4
\n" ); document.write( "Divide by 4
\n" ); document.write( "(x+3)^2/2-(y+1)^2/2=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis of the standard form:
\n" ); document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, with (h,k) being the (x,y) coordinates of the center.
\n" ); document.write( "..
\n" ); document.write( "note: Before deciding what kind of conic the equation represents, it is a good idea to complete the square first. \n" ); document.write( "