document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36378>Question 36378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> instruction: find exact & approximate solutions to the problem.\r<BR>\n" );
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document.write( "106.  One on One.  Find two positive real numbers that differ by 1 and have a product of 1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22505 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=22505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two positive real numbers..X AND Y SAY that differ by 1 and have a product of 1.<BR>\n" );
document.write( "X-Y=1..................................I<BR>\n" );
document.write( "XY=1<BR>\n" );
document.write( "(X+Y)^2=(X-Y)^2+4XY=1^2+4*1=5<BR>\n" );
document.write( "X+Y=SQRT(5).................................II<BR>\n" );
document.write( "EQN.I+EQN.II GIVES<BR>\n" );
document.write( "2X=1+SQRT(5)<BR>\n" );
document.write( "X=(1+SQRT(5))/2=(2.236+1)/2=1.618<BR>\n" );
document.write( "EQN.II-EQN.I..GIVES<BR>\n" );
document.write( "2Y=SQRT(5)-1<BR>\n" );
document.write( "Y=(SQRT(5)-1)/2=(2.236-1)/2=0.618 </SPAN>\n" );
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