document.write( "Question 752059: how do you work out
\n" ); document.write( "x^2-4y^2-2x-24y-39=0 \n" ); document.write( "

Algebra.Com's Answer #457550 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
x^2-4y^2-2x-24y-39=0
\n" ); document.write( "reorder terms:
\n" ); document.write( "x^2-2x-4y^2-24y = 39
\n" ); document.write( "group terms:
\n" ); document.write( "(x^2-2x)-(4y^2+24y) = 39
\n" ); document.write( "(x^2-2x)-4(y^2+6y) = 39
\n" ); document.write( "complete squares:
\n" ); document.write( "(x^2-2x+1)-4(y^2+6y+9) = 39+1-36
\n" ); document.write( "(x-1)^2-4(y+3)^2 = 4
\n" ); document.write( "(x-1)^2 /4 - (y+3)^2 = 1
\n" ); document.write( ".
\n" ); document.write( "This is a horizontal hyperbola
\n" ); document.write( "(h,k) is (1,-3)
\n" ); document.write( "a is 2
\n" ); document.write( "b is 1
\n" ); document.write( " \n" ); document.write( "

\n" );