document.write( "Question 514852: Find the center of the conic 9x²-4y²-18x-24y-63=0 \n" ); document.write( "

Algebra.Com's Answer #345288 by lwsshak3(11628) $\"\"$ $\"About$

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Find the center of the conic 9x²-4y²-18x-24y-63=0
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\n" ); document.write( "9x²-4y²-18x-24y-63=0
\n" ); document.write( "complete the square
\n" ); document.write( "9(x^2-2x+1)-4(y^2+6y+9)=63+9-36=36
\n" ); document.write( "9(x-1)^2-4(y+3)^2=36
\n" ); document.write( "(x-1)^2/4-(y+3)^2/9=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis of the standard form:
\n" ); document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, with (h,k) being the (x,y) coordinates of the center.
\n" ); document.write( "For given equation:
\n" ); document.write( "center: (1,-3) \n" ); document.write( "

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