document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100540>Question 100540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this question.\r<BR>\n" );
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document.write( "Find two positive real numbers that differ by 1 and have a product of 1.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73189 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=73189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two positive real numbers that differ by 1 and have a product of 1<BR>\n" );
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document.write( "1st: x-y=1<BR>\n" );
document.write( "2nd: xy=1<BR>\n" );
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document.write( "1st: x = y+1<BR>\n" );
document.write( "Substitute into 2nd to get:<BR>\n" );
document.write( "(y+1)y=1<BR>\n" );
document.write( "y^2+y-1=0<BR>\n" );
document.write( "y = [-1 +- sqrt(1 - 4*-1)]/2<BR>\n" );
document.write( "y = [-1 +- sqrt(5)]/2<BR>\n" );
document.write( "Positive answer:<BR>\n" );
document.write( "y = [-1+sqrt(5)]/2 = 0.618<BR>\n" );
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document.write( "Substitute into 2nd to get:<BR>\n" );
document.write( "x = 1/y = 0.618^-1 = 1.618<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
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