document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24958>Question 24958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and its reciprocal is 25/12.  What is 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 #13336 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=13336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n = the required number. You can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+1%2Fn+=+25%2F12 ALIGN=MIDDLE  ALT=\"n+%2B+1%2Fn+=+25%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%5E2+%2B+1%29%2Fn+=+25%2F12 ALIGN=MIDDLE  ALT=\"%28n%5E2+%2B+1%29%2Fn+=+25%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides of the equation by n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+%2B+1+=+25n%2F12 ALIGN=MIDDLE  ALT=\"n%5E2+%2B+1+=+25n%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 12 and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12n%5E2+%2B+12+=+25n ALIGN=MIDDLE  ALT=\"12n%5E2+%2B+12+=+25n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 25n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12n%5E2+-+25n+%2B+12+=+0 ALIGN=MIDDLE  ALT=\"12n%5E2+-+25n+%2B+12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for n by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283n+-+4%29%284n+-+3%29+=+0 ALIGN=MIDDLE  ALT=\"%283n+-+4%29%284n+-+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+-+4+=+0 ALIGN=MIDDLE  ALT=\"3n+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n+-+3+=+0 ALIGN=MIDDLE  ALT=\"4n+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+-+4+=+0 ALIGN=MIDDLE  ALT=\"3n+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+=+4 ALIGN=MIDDLE  ALT=\"3n+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+4%2F3 ALIGN=MIDDLE  ALT=\"n+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n+-+3+=+0 ALIGN=MIDDLE  ALT=\"4n+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n+=+3 ALIGN=MIDDLE  ALT=\"4n+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+3%2F4 ALIGN=MIDDLE  ALT=\"n+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The answer is: There are two numbers that fit this situation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3+%2B+3%2F4+=+%2816+%2B+9%29%2F12 ALIGN=MIDDLE  ALT=\"4%2F3+%2B+3%2F4+=+%2816+%2B+9%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F12 ALIGN=MIDDLE  ALT=\"25%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4+%2B+4%2F3+=+%289+%2B+16%29%2F12 ALIGN=MIDDLE  ALT=\"3%2F4+%2B+4%2F3+=+%289+%2B+16%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F12 ALIGN=MIDDLE  ALT=\"25%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );