document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113711>Question 113711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If fifteen less than two times a number is divided by six more than the number, the result is four less than nine times the reciprocal of that number. 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 #82759 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=82759\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If fifteen less than two times a number is divided by six more than the number, the result is four less than nine times the reciprocal of that number. Find the number<BR>\n" );
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document.write( "Let the number be \"x\".<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "(2x-15)/(x+6) = (9/x)-4<BR>\n" );
document.write( "(2x-15)/(x+6) = (9-4x)/x<BR>\n" );
document.write( "Cross-multiply to get:<BR>\n" );
document.write( "2x^2-15x = (x+6)(9-4x)<BR>\n" );
document.write( "2x^2-15x = -4x^2-15x+54<BR>\n" );
document.write( "6x^2=54<BR>\n" );
document.write( "x^2 = 9<BR>\n" );
document.write( "x = 3 or x = -3<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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