document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421803>Question 421803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference of a number and two times its reciprocal is 7/3. find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294476 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=294476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the difference of a number and two times its reciprocal is 7/3. find the numbers<BR>\n" );
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document.write( "Let the number be \"x\":<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x - 2(1/x) = 7/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "lcm = 3x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x^2 - 6 = 21x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 - 2 = 7x<BR>\n" );
document.write( "x^2-7x-2 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [7 +- sqrt(49-4*-2)]/2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [7 +- sqrt(57)]/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );