document.write( "Question 867831: Define the type of conic section and write standard equation\r
\n" ); document.write( "\n" ); document.write( "16x^2-96x-9y^2=288
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Algebra.Com's Answer #523235 by lwsshak3(11628)\"\" \"About 
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Define the type of conic section and write standard equation
\n" ); document.write( "16x^2-96x-9y^2=288
\n" ); document.write( "complete the square:
\n" ); document.write( "16(x^2-6+9)-9y^2=288+144
\n" ); document.write( "16(x-3)^2-9y^2=432
\n" ); document.write( "divide by 432
\n" ); document.write( "\"%28x-3%29%5E2%2F27-y%5E2%2F48=1\"
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis and center at (3,0)
\n" ); document.write( "Its standard form of equation: \"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\", (h,k)=coordinates of center
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