document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427792>Question 427792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and four times its reciprocal is 29/5.Find the number  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297813 by </B><A HREF=/tutors/aboutme.mpl?userid=eggsarecool><B>eggsarecool(46)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eggsarecool><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=297813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and four times its reciprocal is 29/5.Find the number \r<BR>\n" );
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document.write( "Let's call the number n.\r<BR>\n" );
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document.write( "The reciprocal would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn ALIGN=MIDDLE  ALT=\"1%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the formula should look like.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B4%2A%281%2Fn%29=29%2F5 ALIGN=MIDDLE  ALT=\"n%2B4%2A%281%2Fn%29=29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now multiply every term on both sides by n, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn ALIGN=MIDDLE  ALT=\"1%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%281%2Fn%29 ALIGN=MIDDLE  ALT=\"4%2A%281%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will cancel to become 1, leaving you with 4*1=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B4=%2829%2F5%29%2An ALIGN=MIDDLE  ALT=\"n%5E2%2B4=%2829%2F5%29%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%5E2%2B20=29n ALIGN=MIDDLE  ALT=\"5n%5E2%2B20=29n\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29n ALIGN=MIDDLE  ALT=\"29n\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%5E2-29n%2B20=0 ALIGN=MIDDLE  ALT=\"5n%5E2-29n%2B20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > now you have a solvable quadratic equation, that factors into.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285n-4%29%28n-5%29=0 ALIGN=MIDDLE  ALT=\"%285n-4%29%28n-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5 ALIGN=MIDDLE  ALT=\"n=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n-4=0 ALIGN=MIDDLE  ALT=\"5n-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=4 ALIGN=MIDDLE  ALT=\"5n=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > divide both sides by 5 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5%2F4 ALIGN=MIDDLE  ALT=\"n=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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