document.write( "Question 1030904: What type of conic is the equation?
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Algebra.Com's Answer #645646 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The other tutor is right, but you don't need to \r\n" );
document.write( "do all that just to determine what type of conic\r\n" );
document.write( "it is the equation of.  All you need do\r\n" );
document.write( "is look at the terms in x² and y² and go by\r\n" );
document.write( "these rules:\r\n" );
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document.write( "Rules for determining the type of conic an equation\r\n" );
document.write( "of the form Ax²+Cy²+Dx+Ey+F=0 is the equation of:\r\n" );
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document.write( "1. If the coefficients of both the x² and y² terms when \r\n" );
document.write( "they are on the same side of the equation are EXACTLY THE\r\n" );
document.write( "SAME NUMBER, the conic is a CIRCLE.\r\n" );
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document.write( "2. If the signs of both the x² and y² terms when \r\n" );
document.write( "they are on the same side of the equation are the \r\n" );
document.write( "SAME, the conic is an ELLIPSE.\r\n" );
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document.write( "3. If the signs of the x² and y² terms when they are \r\n" );
document.write( "on the same side of the equation are OPPOSITE, the \r\n" );
document.write( "conic is a HYPERBOLA.\r\n" );
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document.write( "4. If there is only an x² term but no y² term,\r\n" );
document.write( "or only a y² term and no x² term, the conic is a\r\n" );
document.write( "PARABOLA.\r\n" );
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document.write( "3x²+2x+15y²-4y = 30 \r\n" );
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document.write( "The x² term is +3x² and the term in y² is +15y². \r\n" );
document.write( "They have the same sign + and they are on the same\r\n" );
document.write( "side of the equation, so rule 1 holds, and the conic\r\n" );
document.write( "is an ELLIPSE.\r\n" );
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document.write( "Edwin
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