document.write( "Question 77990: I can't figure out this hyperbola: (((3x^2 + y^2 +18x - 2y + 4=0))). This is what I've tried so far: 3x^2/3 + y^2 + 18x/3 - 2y +4=0
\n" );
document.write( " x^2 +y^2 + 6x - 2y =-4
\n" );
document.write( " x^2/-4 + y^2/-4 + -3x/2 + y/2 = 1)))
\n" );
document.write( "please help me \n" );
document.write( "
Algebra.Com's Answer #55896 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! since the squared terms are both positive, this is an ellipse rather than a hyperbola...start by regrouping terms\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3(x^2+6x+___)+y^2-2y+___=-4...now complete the squares 3(x^2+6x+9)+y^2-2y+1=-4+27+1...so 3(x+3)^2+(y-1)^2=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "dividing by 24 gives \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an ellipse centered at (-3,1); with the foci at (-3,-3) and (-3,5) \n" ); document.write( " |