document.write( "Question 135206: Identify the conic section, write each in standard form, and graph:
\n" ); document.write( "4x^2-9y^2+y+3=0
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Algebra.Com's Answer #99044 by stanbon(75887)\"\" \"About 
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Identify the conic section, write each in standard form, and graph:
\n" ); document.write( "4x^2-9y^2+y+3=0
\n" ); document.write( "Complete the square on the x-terms and on the y-terms:\r
\n" ); document.write( "\n" ); document.write( "4(x^2) -9(y^2-(1/9)y = -3
\n" ); document.write( "4(x^2) -9(y^2-(1/9)y+(1/18)^2) = -3-9*(1/18)^2
\n" ); document.write( "4(x^2) -9(y-(1/18))^2 = -109/36
\n" ); document.write( "Divide both sides by -109/36 to get:\r
\n" ); document.write( "\n" ); document.write( " -(x-0)^2]/(109/144) +(y-(1/18))^2/(109/324) = 1
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\n" ); document.write( "It's a hyperbola.
\n" ); document.write( "Can't be graphed on this site as it is not a function.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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