document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54168>Question 54168</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>beginning and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How in the world?? Again my book doesnt have an equation on how to solve this and guessing got me no where. Will you please help? Thank you!! \r<BR>\n" );
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document.write( "One on one: Find two positive real numbers that differ by 1 and have a product of 1. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36444 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=36444\">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" );
document.write( "Let one of the numbers be \"x\" and the other be \"x+1\"<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x(x+1)=1<BR>\n" );
document.write( "x^2+x-1=0<BR>\n" );
document.write( "Use the quadratic formula to solve for \"x\".<BR>\n" );
document.write( "x=[-1+-sqrt(1+4)]/2<BR>\n" );
document.write( "Since you want positive numbers,<BR>\n" );
document.write( "x=[-1+sqrt5}/2 (This is one of the numbers)<BR>\n" );
document.write( "x+1=[-1+sqrt5]/2 + 2/2<BR>\n" );
document.write( "x+1=[1+sqrt5]/2 (This is the other number)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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