document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296335>Question 296335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the equation 4x^2 - 9y^2 = 9 for a hyperbola when I can not make it fit the standard form of x^2/a - y^2/b = 1 because of the 4 and 9. Any help is appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213549 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=213549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By \"solve\" you probably mean \"write in standard form\" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Fa%5E2%29-%28y%5E2%2Fb%5E2%29+=+1 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Fa%5E2%29-%28y%5E2%2Fb%5E2%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the standard form of an equation of a hyperbola with center at (0, 0) and vertices on the x-axis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E4-9y%5E2+=+9 ALIGN=MIDDLE  ALT=\"4x%5E4-9y%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F9%29x%5E2-y%5E2+=+1 ALIGN=MIDDLE  ALT=\"%284%2F9%29x%5E2-y%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9+=+%282%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"4%2F9+=+%282%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%5E2+=+1%2F%283%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%282%2F3%29%5E2+=+1%2F%283%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so you can rewrite the first term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%283%2F2%29%5E2%29-y%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%283%2F2%29%5E2%29-y%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Comparing this with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > you can see that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%283%2F2%29 ALIGN=MIDDLE  ALT=\"a+=+%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1 ALIGN=MIDDLE  ALT=\"b+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );