document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639804>Question 639804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to simplify the equation for an ellipse so that it is in the standard form of \"x^2/a^2+y^2/b^2=1\".  The equation is 9x^2+36y^2=4.  I have tried to factor the 9 out of the right side of the equation, and then dividing the entire equation by 4.  Also, dividing by 4 without factoring had lead me to a dead end.  What should I do to get the equation to the standard form? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403046 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=403046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am trying to simplify the equation for an ellipse so that it is in the standard form of \"x^2/a^2+y^2/b^2=1\". The equation is 9x^2+36y^2=4. I have tried to factor the 9 out of the right side of the equation, and then dividing the entire equation by 4. Also, dividing by 4 without factoring had lead me to a dead end. What should I do to get the equation to the standard form?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "standard form of equation for an ellipse with vertical major axis and center at (0,0): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B36y%5E2=4 ALIGN=MIDDLE  ALT=\"9x%5E2%2B36y%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F%289%2F4%29%2By%5E2%2F%2836%2F4%29=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F%289%2F4%29%2By%5E2%2F%2836%2F4%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F%289%2F4%29%2By%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F%289%2F4%29%2By%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F2.25%2By%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F2.25%2By%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b^2=9/4=2.25<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "note:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2F4=x%5E2%2F%289%2F4%29=x%5E2%2F2.25 ALIGN=MIDDLE  ALT=\"9x%5E2%2F4=x%5E2%2F%289%2F4%29=x%5E2%2F2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36y%5E2%2F4=y%5E2%2F%2836%2F4%29=y%5E2%2F9 ALIGN=MIDDLE  ALT=\"36y%5E2%2F4=y%5E2%2F%2836%2F4%29=y%5E2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );