document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=428488>Question 428488</A>: <I><SPAN STYLE=\"word-break: break-all;\">  One number plus sixteen times its reciprocal is equal to ten. <BR>\n" );
document.write( "I tried n+16n=10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297809 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=297809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok so what happened here is that the reciprocal means <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;\" ><BR>\n" );
document.write( "One number plus sixteen times its reciprocal is equal to ten. \r<BR>\n" );
document.write( "\n" );
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%2B16%2A%281%2Fn%29=10 ALIGN=MIDDLE  ALT=\"n%2B16%2A%281%2Fn%29=10\"   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=16%2A%281%2Fn%29 ALIGN=MIDDLE  ALT=\"16%2A%281%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will cancel to become 1, leaving you with 16*1=16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B16=10n ALIGN=MIDDLE  ALT=\"n%5E2%2B16=10n\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 10n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-10n%2B16=0 ALIGN=MIDDLE  ALT=\"n%5E2-10n%2B16=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=%28n-8%29%28n-2%29=0 ALIGN=MIDDLE  ALT=\"%28n-8%29%28n-2%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=8+ ALIGN=MIDDLE  ALT=\"+n=8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=2 ALIGN=MIDDLE  ALT=\"n=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );