document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248274>Question 248274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Is there a number that 1 compares to such that that number compares to itself plus 1? 1/x = x/x+1<BR>\n" );
document.write( "Find me 2 solutions (non factorable) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180936 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=180936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x = x/x+1<BR>\n" );
document.write( "Cross-multiply and solve for \"x\":<BR>\n" );
document.write( "x^2 = x+1<BR>\n" );
document.write( "x^2-x-1 = 0<BR>\n" );
document.write( "x = [1 +- sqrt(1-4*1*-1)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [1 +- sqrt(5)]/2<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "x = (1+sqrt(5))/2 or x = (1-sqrt(5))/2<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );