document.write( "Question 290936: Which conic section is represented by 4x^2+9y^2-8x-36y+4=0 \n" ); document.write( "

Algebra.Com's Answer #210494 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "Rule:\r\n" );
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document.write( "Get all the terms on one side with a 0 on the other side.\r\n" );
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document.write( "Then look for the terms in  and \r\n" );
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document.write( "1.  If both are missing the equation represents a line.\r\n" );
document.write( "2.  If one of them is missing, the equation represents a parabola.\r\n" );
document.write( "3.  If neither is missing and they have the same sign, the equation\r\n" );
document.write( "    represents an ellipse.\r\n" );
document.write( "4.  If neither is missing and they have the opposite signs, and \r\n" );
document.write( "    the equation represents a hyperbola.\r\n" );
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document.write( "It already has all the terms on one side with a 0 on the right\r\n" );
document.write( "Neither the  term or the  term is missing and they\r\n" );
document.write( "both have the same sign, so #3 above applies and the equation \r\n" );
document.write( "represents an ellipse.\r\n" );
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document.write( "Edwin

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