document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479631>Question 479631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of a number and its reciprocal is 34/15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328609 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let  the number be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > and its reciprocal <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( "given:\r<BR>\n" );
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document.write( "the sum of a number and its reciprocal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34%2F15 ALIGN=MIDDLE  ALT=\"34%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B+%281%2Fn%29+=34%2F15 ALIGN=MIDDLE  ALT=\"n%2B+%281%2Fn%29+=34%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....multiply  thru  by  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+%2B1+=+%2834%2F15%29n ALIGN=MIDDLE  ALT=\"n%5E2+%2B1+=+%2834%2F15%29n\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....multiply  thru  by  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15n%5E2+%2B15+=+34n ALIGN=MIDDLE  ALT=\"15n%5E2+%2B15+=+34n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15n%5E2+%2B15+-34n=0 ALIGN=MIDDLE  ALT=\"15n%5E2+%2B15+-34n=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....use quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=15 ALIGN=MIDDLE  ALT=\"a=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=15 ALIGN=MIDDLE  ALT=\"b=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-34 ALIGN=MIDDLE  ALT=\"c=-34\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-15+%2B-+sqrt%28+15%5E2-4%2A15%2A%28-34%29+%29%29%2F%282%2A15%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-15+%2B-+sqrt%28+15%5E2-4%2A15%2A%28-34%29+%29%29%2F%282%2A15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-15+%2B-+sqrt%28+225%2B2040+%29%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%28-15+%2B-+sqrt%28+225%2B2040+%29%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-15+%2B-+sqrt%28+2265+%29%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%28-15+%2B-+sqrt%28+2265+%29%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-15+%2B-+47.59%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%28-15+%2B-+47.59%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-15+%2B+47.59%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%28-15+%2B+47.59%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%2832.59%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%2832.59%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+1.086+ ALIGN=MIDDLE  ALT=\"n+=+1.086+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......its reciprocal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+1%2F1.086=0.92 ALIGN=MIDDLE  ALT=\"n+=+1%2F1.086=0.92\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-15+-+47.59%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%28-15+-+47.59%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-62.59%29%2F30+ ALIGN=MIDDLE  ALT=\"n+=+%28-62.59%29%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+-2.086+ ALIGN=MIDDLE  ALT=\"n+=+-2.086+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......its reciprocal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+-1%2F2.086=-0.48 ALIGN=MIDDLE  ALT=\"n+=+-1%2F2.086=-0.48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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