document.write( "Question 627828: Standard form for 2x^2-4y^2+8x-24y-40=0 \n" ); document.write( "

Algebra.Com's Answer #395169 by lwsshak3(11628) $\"\"$ $\"About$

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Standard form for:
\n" ); document.write( "2x^2-4y^2+8x-24y-40=0
\n" ); document.write( "complete the square
\n" ); document.write( "2x^2+8x-4y^2-24y-40=0
\n" ); document.write( "2(x^2+4x+4)-4(y^2+6y+9)=40+8-36
\n" ); document.write( "2(x+2)^2-4(y+3)^2=12
\n" ); document.write( " $\"%28x%2B2%29%5E2%2F6-%28y%2B3%29%5E2%2F3=1\"$
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis.
\n" ); document.write( "It standard form: $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ (h,k)=(x,y) coordinates of center
\n" ); document.write( "center: (-2,-3)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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