document.write( "Question 866623: Write the standard equation and define type of conic section\r
\n" ); document.write( "\n" ); document.write( "16x^2-196x+288-9y^2=0 \n" ); document.write( "

Algebra.Com's Answer #522399 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"16x%5E2-196x%2B288-9y%5E2=0\"$
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\n" ); document.write( " $\"16x%5E2-196x-9y%5E2=-288\"$
\n" ); document.write( " $\"16%28x%5E2-%2849%2F4%29x%29-9y%5E2=-288\"$ ----This should be a hyperbola...
\n" ); document.write( " $\"16%28x%5E2-%2849%2F4%29x%2B%2849%2F8%29%5E2%29-9y%5E2=-288%2B16%2849%2F8%29%5E2\"$ ---Completing the Square
\n" ); document.write( " $\"16%28x-49%2F8%29%5E2-9y%5E2=-288%2B%284%2A4%2A7%2A7%2A7%2A7%29%2F%282%2A4%2A2%2A4%29\"$
\n" ); document.write( " $\"16%28x-49%2F8%29%5E2-9y%5E2=-288%2B49%2A49%2F4=%282401%2F4-288%29\"$
\n" ); document.write( " $\"16%28x-49%2F8%29%5E2-9y%5E2=%282401-1152%29%2F4\"$
\n" ); document.write( " $\"16%28x-49%2F8%29%5E2-9y%5E2=1249%2F4\"$
\n" ); document.write( " $\"%284%2F1249%2916%28x-49%2F8%29%5E2-%284%2F1249%299y%5E2=1\"$
\n" ); document.write( " $\"%2864%2F1249%29%28x-49%2F8%29%5E2-%2836%2F1249%29y%5E2=1\"$
\n" ); document.write( " $\"highlight%28%28x-49%2F8%29%5E2%2F%281249%2F64%29-y%5E2%2F%281249%2F36%29=1%29\"$
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\n" ); document.write( "Note that $\"a%5E2=1249%2F64\"$ and $\"b%5E2=1249%2F36\"$ .
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