document.write( "Question 625249: Write the equation of the hyperbola in standard form which has the following equation.\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x-y%5E2%2B6y=9\"
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Algebra.Com's Answer #393435 by lwsshak3(11628)\"\" \"About 
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Write the equation of the hyperbola in standard form which has the following equation:
\n" ); document.write( "x^2-4x-y^2+6y=9
\n" ); document.write( "complete the square
\n" ); document.write( "(x^2-4x+4)-(y^2-6y+9)=9+4-9
\n" ); document.write( "(x-2)^2-(y-3)^2=4
\n" ); document.write( "(x-2)^2/4-(y-3)^2/4=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis.
\n" ); document.write( "Its standard form: (x-h)^2/a^2-(y-k)^2/b^2=1 (h,k)=(x,y) coordinates of center.\r
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