document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276543>Question 276543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Sum of a number and it's reciprocal is 10/3. 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 #201505 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number\r<BR>\n" );
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document.write( "Let 1/x = its reciprocal\r<BR>\n" );
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document.write( "Then x + 1/x = 10/3\r<BR>\n" );
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document.write( "Multiply all terms by the LCD which is 3x.  This is done to remove all fractions.  It's easier working without fractions.  \r<BR>\n" );
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document.write( "3x^2 + 3 = 10x\r<BR>\n" );
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document.write( "Subtract 10x from both sides and then equate everything to zero.\r<BR>\n" );
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document.write( "3x^2 - 10x + 3 = 0\r<BR>\n" );
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document.write( "This is now a quadratic equation.\r<BR>\n" );
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document.write( "Can you take it from here?\r<BR>\n" );
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document.write( "nycfunction@yahoo.com<BR>\n" );
document.write( "Guido\r<BR>\n" );
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document.write( " </SPAN>\n" );
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