document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703247>Question 703247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when a number is added to 40 times its reciprocal the answer obtained is 2 less than three the number,what is number could be\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433506 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  When a number is added to 40 times its reciprocal, the answer obtained is 2 less than three times the number.<BR>\n" );
document.write( "What is then number?<BR>\n" );
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document.write( "Let x = the number<BR>\n" );
document.write( "write an equation for exactly what it says:<BR>\n" );
document.write( "x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fx ALIGN=MIDDLE  ALT=\"40%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3x - 2<BR>\n" );
document.write( "x - 3x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fx ALIGN=MIDDLE  ALT=\"40%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2 = 0<BR>\n" );
document.write( "-2x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fx ALIGN=MIDDLE  ALT=\"40%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2 = 0<BR>\n" );
document.write( "multiply by -x, resulting in an quadratic equation, easily factored:<BR>\n" );
document.write( "2x^2 - 2x - 40 = 0<BR>\n" );
document.write( "Factors to <BR>\n" );
document.write( "(x + 4)(2x - 10) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5 is the number<BR>\n" );
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document.write( "See if that works:<BR>\n" );
document.write( "5 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F5 ALIGN=MIDDLE  ALT=\"40%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(5) - 2<BR>\n" );
document.write( "5 + 8 = 15 - 2<BR>\n" );
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document.write( "But what about x = -4<BR>\n" );
document.write( "-4 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F4 ALIGN=MIDDLE  ALT=\"40%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(-4) - 2<BR>\n" );
document.write( "-4 - 10 = -12 - 2;  That works too?<BR>\n" );
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