document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586652>Question 586652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I put this equation into standard form? Help me, please.<BR>\n" );
document.write( "5x^2 - 4y^2 - 40x - 16y - 36 = 0 </SPAN>\n" );
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document.write( "5x^2 - 4y^2 - 40x - 16y - 36 = 0<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "5(x^2-8x+16)-4(y^2+4y+4)=36+80-16<BR>\n" );
document.write( "5(x-4)^2-4(y+2)^2=100<BR>\n" );
document.write( "(x-4)^2/20-(y+2)^2/25=1<BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis:<BR>\n" );
document.write( "center: (4,-2)<BR>\n" );
document.write( "a^2=20<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of equation for a hyperbola with horizontal transverse axis:<BR>\n" );
document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k) being the (x,y) coordinates of the center </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );