document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825746>Question 825746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal.the number is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497585 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=497585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal.the number is<BR>\n" );
document.write( ":<BR>\n" );
document.write( "n + <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;\" > = 3(n - <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( "n + <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;\" > = 3n - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fn ALIGN=MIDDLE  ALT=\"3%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "mult both sides by n<BR>\n" );
document.write( "n^2 + 1 = 3n^2 - 3<BR>\n" );
document.write( "1 + 3 = 3n^2 - n^2<BR>\n" );
document.write( "4 = 2n^2<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "2 = n^2<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I expected an integer, but it checked out on a calc both sides = 2.12132 </SPAN>\n" );
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