document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465502>Question 465502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve the following:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5Ex+ ALIGN=MIDDLE  ALT=\"+e%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fe%5Ex+ ALIGN=MIDDLE  ALT=\"+1%2Fe%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=2\r<BR>\n" );
document.write( "\n" );
document.write( "*I had to write this differently because of the formula plotting system (the second part is really e to the -x instead of 1/e^x).\r<BR>\n" );
document.write( "\n" );
document.write( "So I believe from here you subtract 2 from both sides and end up with everything equal to zero, and then you would let u=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5Ex+ ALIGN=MIDDLE  ALT=\"+e%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that you have u-(1/u)-2=0. Then I get confused as to how to solve this by using the quadratic formula, because I don't know what b=? . That is really all I am confused on, assuming I'm going about this the right way in the first place.\r<BR>\n" );
document.write( "\n" );
document.write( "I hope I've explained that well. Thanks!\r<BR>\n" );
document.write( "\n" );
document.write( "Jessica </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318993 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=318993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5Ex+ ALIGN=MIDDLE  ALT=\"+e%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fe%5Ex+ ALIGN=MIDDLE  ALT=\"+1%2Fe%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=2<BR>\n" );
document.write( "Multiply thru by e^x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%282x%29+-+1+=+2e%5Ex ALIGN=MIDDLE  ALT=\"e%5E%282x%29+-+1+=+2e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%282x%29+-+2e%5Ex+-+1+=+0 ALIGN=MIDDLE  ALT=\"e%5E%282x%29+-+2e%5Ex+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sub u for e^x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2+-+2u+-+1+=+0 ALIGN=MIDDLE  ALT=\"u%5E2+-+2u+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "u = 1 +/- sqrt(2)<BR>\n" );
document.write( "x = ln(1 +/- sqrt(2))<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "PS hyp cos(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5Ex+%2B+e%5E%28-x%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28e%5Ex+%2B+e%5E%28-x%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "hyp sin(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5Ex+-+e%5E%28-x%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28e%5Ex+-+e%5E%28-x%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );