document.write( "Question 358358: How can you tell what type of conic this equation is without completing the square? x^2+4y^2-4x+24y+36=0 \n" ); document.write( "

Algebra.Com's Answer #255727 by Alan3354(69443) $\"\"$ $\"About$

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Both x and y are 2nd order, so it's not a parabola.
\n" ); document.write( "The x^2 and y^2 have the same sign --> ellipse or circle.
\n" ); document.write( "The coefficients of the x^2 and y^2 terms are different, not a circle.
\n" ); document.write( "--> ellipse\r
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