document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761271>Question 761271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I write the equation of the hyperbola in standard form?\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2-9y^2-8x+54y = 113 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468302 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I write the equation of the hyperbola in standard form? <BR>\n" );
document.write( "4x^2-9y^2-8x+54y = 113<BR>\n" );
document.write( "4x^2-8x-9y^2+54y = 113<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "4(x^2-2x+1)-9(y^2+6y+9) = 113+4-81<BR>\n" );
document.write( "4(x-1)^2-9(y+3)^2=36<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F9-%28y%2B3%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F9-%28y%2B3%29%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "Its standard form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of the center </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );