document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121737>Question 121737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2)       e^x + 2x = 7\r<BR>\n" );
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document.write( "a)       1.424\r<BR>\n" );
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document.write( "b)       7\r<BR>\n" );
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document.write( "c)       -1.621\r<BR>\n" );
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document.write( "d)       3.814\r<BR>\n" );
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document.write( "e)       None of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89379 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=89379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we have x as an exponent and it is also multiplied by some constant, there is no algebraic way to solve this. So a numerical approximation is the next best thing.\r<BR>\n" );
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document.write( "So if we graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5Ex+%2B+2x ALIGN=MIDDLE  ALT=\"y=e%5Ex+%2B+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cexp%28x%29%2B2x%2C7%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cexp%28x%29%2B2x%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5Ex+%2B+2x ALIGN=MIDDLE  ALT=\"y=e%5Ex+%2B+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "Now using the \"intersect\" feature on a calculator, we find that the two graphs intersect at the point (1.424, 7)\r<BR>\n" );
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document.write( "So the answer is  1.424 which means the choice is A) </SPAN>\n" );
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