document.write( "Question 141450: I have a quiz tomorrow and I am having trouble solving the practice equation...\r
\n" ); document.write( "\n" ); document.write( "Write 9x^2-108x+4y^2+8y+184=0 in standard form. Is it an ellipse, circle, parabola or hyperbola? \n" ); document.write( "

Algebra.Com's Answer #103075 by nabla(475) $\"\"$ $\"About$

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$\"9x%5E2-108x%2B4y%5E2%2B8y%2B184=0\"$
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<--complete the squares
\n" ); document.write( " $\"9%28x-6%29%5E2%2B4%28y%2B1%29%5E2%2B184-4-9%2A36=0\"$ <---factor
\n" ); document.write( " $\"9%28x-6%29%5E2%2B4%28y%2B1%29%5E2=144\"$ <--simplify, shift constants to right-side
\n" ); document.write( " $\"%28x-6%29%5E2%2B%284%2F9%29%28y%2B1%29%5E2=144%2F9\"$ <---divide 9 through to make x term standard
\n" ); document.write( " $\"%281%2F4%29%28x-6%29%5E2%2B%281%2F9%29%28y%2B1%29%5E2=144%2F36\"$ <---divide 4 through to make the y term standard
\n" ); document.write( " $\"%281%2F%2816%29%29%28x-6%29%5E2%2B%281%2F36%29%28y%2B1%29%5E2=1\"$ <---simplify it into standard form by dividing 4 through in order to make the right side 1.
\n" ); document.write( " $\"%281%2F%284%29%5E2%29%28x-6%29%5E2%2B%281%2F%286%29%5E2%29%28y%2B1%29%5E2=1\"$
\n" ); document.write( "It should be evident now that this is an ellipse, not a circle.\r
\n" ); document.write( "\n" ); document.write( "The center is (h,k) when in standard form: (6,-1). \n" ); document.write( "

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