document.write( "Question 896452: sketch the hyperbolic corresponding to the equation 16y^2-4x^2-36x-24y-36=0.State the centre and the equation for the asymptotes. \n" ); document.write( "

Algebra.Com's Answer #543527 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"16y%5E2-4x%5E2-36x-24y-36=0\"$
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\n" ); document.write( " $\"4y%5E2-x%5E2-9x-8y-9=0\"$
\n" ); document.write( " $\"4y%5E2-8y-x%5E2-9x=9\"$
\n" ); document.write( " $\"4%28y%5E2-2y%29-%28x%5E2%2B9x%29=0\"$
\n" ); document.write( " $\"Complete+The+Squares\"$
\n" ); document.write( " $\"4%28y%5E2-2y%2B1%29-%28x%5E2%2B9x%2B%289%2F2%29%5E2%29=9%2B4-81%2F4\"$
\n" ); document.write( " $\"4%28y-1%29%5E2-%28x%2B9%2F2%29%5E2=13-81%2F4\"$
\n" ); document.write( " $\"4%28y-1%29%5E2-%28x%2B9%2F2%29%5E2=52%2F4-81%2F4\"$
\n" ); document.write( " $\"4%28y-1%29%5E2-%28x%2B9%2F2%29%5E2=-29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-%2816%2F29%29%28y-1%29%5E2%2B%284%2F29%29%28x%2B9%2F2%29%5E2=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28%28x%2B9%2F2%29%5E2%2F%2829%2F4%29-%28y-1%29%5E2%2F%2829%2F16%29=1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "ASYMPTOTES\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=-%28sqrt%2829%2F16%29%2Fsqrt%2829%2F4%29%29%28x%2B9%2F2%29%2B1%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"highlight%28y=%28sqrt%2829%2F16%29%2Fsqrt%2829%2F4%29%29%28x%2B9%2F2%29%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "These still need simplification in order to be finished.\r
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\n" ); document.write( "\n" ); document.write( "Refer to your textbook to see how to obtain formula for the asymptotes, or refer to
\n" ); document.write( "other favorite reference source.
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