document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925977>Question 925977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:\r<BR>\n" );
document.write( "\n" );
document.write( "if the latus rectum of an ellipse is 5 and eccentricity is 2/3, find the value of a and b ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561901 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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/cgi-bin/show-face.mpl?user=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> latus rectum of an ellipse  =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b%5E2%2Fa ALIGN=MIDDLE  ALT=\"+2b%5E2%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " eccentricity  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%281-b%5E2%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"+sqrt%281-b%5E2%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b%5E2%2Fa++=5 ALIGN=MIDDLE  ALT=\"+2b%5E2%2Fa++=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   move a to the right<BR>\n" );
document.write( "  2b^2 = 5a<BR>\n" );
document.write( " divide with 2 on both sides<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b%5E2%2F2+=++5a%2F2 ALIGN=MIDDLE  ALT=\"+2b%5E2%2F2+=++5a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+=5a%2F2 ALIGN=MIDDLE  ALT=\"+b%5E2+=5a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "put above in eccentricity equation<BR>\n" );
document.write( " <BR>\n" );
document.write( " eccentricity  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%281-b%5E2%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"+sqrt%281-b%5E2%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3+=+sqrt%281-b%5E2%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"2%2F3+=+sqrt%281-b%5E2%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3+=sqrt%281-%285a%2F2%29%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"2%2F3+=sqrt%281-%285a%2F2%29%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3+=sqrt%281-5%2F2a%29 ALIGN=MIDDLE  ALT=\"2%2F3+=sqrt%281-5%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "squaring on both sides<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F3%29%5E2++=%28sqrt%281-5%2F2a%29%29%5E2 ALIGN=MIDDLE  ALT=\"+%282%2F3%29%5E2++=%28sqrt%281-5%2F2a%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F9=1-5%2F2a ALIGN=MIDDLE  ALT=\"+4%2F9=1-5%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     move 1 to the left<BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9-1+=-5%2F2a ALIGN=MIDDLE  ALT=\"4%2F9-1+=-5%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F9+-9%2F9+=-5%2F2a ALIGN=MIDDLE  ALT=\"+4%2F9+-9%2F9+=-5%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284-9%29%2F9+=-5%2F2a ALIGN=MIDDLE  ALT=\"+%284-9%29%2F9+=-5%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F9+=-5%2F2a ALIGN=MIDDLE  ALT=\"-5%2F9+=-5%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9+=5%2F2a ALIGN=MIDDLE  ALT=\"5%2F9+=5%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "               divide with 5 on both sides<BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F9+%2A1%2F5+=+5%2F2a%2A1%2F5 ALIGN=MIDDLE  ALT=\"+5%2F9+%2A1%2F5+=+5%2F2a%2A1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F9+=+1%2F2a ALIGN=MIDDLE  ALT=\"+1%2F9+=+1%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              2a  =9<BR>\n" );
document.write( "  on dividing with 2 on both sides<BR>\n" );
document.write( "       a  =  9/2<BR>\n" );
document.write( "but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2++=+5%2Aa%2F2 ALIGN=MIDDLE  ALT=\"+b%5E2++=+5%2Aa%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A+%289%2F2%29%2F2 ALIGN=MIDDLE  ALT=\"5%2A+%289%2F2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F4 ALIGN=MIDDLE  ALT=\"45%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++b+=+sqrt%2845%2F4%29 ALIGN=MIDDLE  ALT=\"++b+=+sqrt%2845%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );