document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996404>Question 996404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help to see how to solve this problem.  Find the sum of all solutions to e^{x^2}={e^{13x}}*{1/{e^{40}}}.  Thanks for your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614863 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
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document.write( "e^(x^2) = e^(13x) * 1/e^40\r<BR>\n" );
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document.write( "this is equivalent to:\r<BR>\n" );
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document.write( "e^(x^2) = e^(13x) * e^(-40)\r<BR>\n" );
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document.write( "this is equivalent to:\r<BR>\n" );
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document.write( "e^(x^2) = e^(13x - 40)\r<BR>\n" );
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document.write( "this is true if and only if x^2 = 13x - 40\r<BR>\n" );
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document.write( "subtract 13x from both sides of this equation and add 40 to both sides of this equation to get:\r<BR>\n" );
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document.write( "x^2 - 13x + 40 = 0\r<BR>\n" );
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document.write( "factor this equation to get:\r<BR>\n" );
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document.write( "(x-8) * (x-5) = 0\r<BR>\n" );
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document.write( "set each of these factors equal to 0 and solve for x to get:\r<BR>\n" );
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document.write( "x = 8 or x = 5.\r<BR>\n" );
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document.write( "those are your solutions.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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