document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207478>Question 1207478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve: 2^x + x = 5 , x is real </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845366 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "This equation can not be solved algebraically.\r<BR>\n" );
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document.write( "It can be solved approximately, using numerical methods.\r<BR>\n" );
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document.write( "Go to web-site www.desmos.com/calculator,\r<BR>\n" );
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document.write( "print there y = 2^x + x - 5 and get the plot.\r<BR>\n" );
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document.write( "Click where the plot intersects x-axis. You will see the number 1.716.\r<BR>\n" );
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document.write( "It is an approximate solution and your answer.<BR>\n" );
document.write( "</pre>\r<BR>\n" );
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document.write( "Solved, with explanations.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Also, &nbsp;there are supporting thoughts that may help you to feel more confidence.\r<BR>\n" );
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document.write( "Notice that left side of the equation is the function, &nbsp;which monotonically increases.\r<BR>\n" );
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document.write( "At &nbsp;x= 1, &nbsp;&nbsp;left side is  &nbsp;&nbsp;2 + 1 = 3.\r<BR>\n" );
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document.write( "At &nbsp;x= 2, &nbsp;&nbsp;left side is &nbsp;&nbsp;4 + 2 = 6.\r<BR>\n" );
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document.write( "It tells you that the solution does exist, &nbsp;that there is only one solution <BR>\n" );
document.write( "(= the solution is unique), &nbsp;and that the solution is between &nbsp;1 &nbsp;and &nbsp;2.\r<BR>\n" );
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