document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=15883>Question 15883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Idk how to solve and check this problem,\r<BR>\n" );
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document.write( "The sum of a number and its reciprocal is 10/3. 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 #7818 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Let the number =x<BR>\n" );
document.write( " its reciprocal is 1/x<BR>\n" );
document.write( "  sum of the two numbers is = x+(1/x) = 10/3<BR>\n" );
document.write( "   (x^2+1)/x = 10/3<BR>\n" );
document.write( "   3*(x^2+1)=10*x<BR>\n" );
document.write( "  3x^2-10x+3 = 0...find 2 factors of 3*3=9 whose sum is -10 ... like -9 and -1<BR>\n" );
document.write( "  3x^2 -9x-x+3=0<BR>\n" );
document.write( "  3x*(x-3)-1*(x-3) =0<BR>\n" );
document.write( "   (3x-1)(x-3)=0<BR>\n" );
document.write( "   hence 3x-1 = 0   OR    x-3 =0 <BR>\n" );
document.write( "     3x=1           OR    x=3<BR>\n" );
document.write( "     x=1/3          OR    x=3 </SPAN>\n" );
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