document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698471>Question 698471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In Exercises 2-6, find two positive numbers that satisfy the given requirements.<BR>\n" );
document.write( "The second number is the reciprocal of the first and their sum is minimum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430715 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=430715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find two positive numbers that satisfy the given requirements.<BR>\n" );
document.write( "The second number is the reciprocal of the first and their sum is minimum.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "1st; x<BR>\n" );
document.write( "2nd: 1/x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "S(x) = x + (1/x)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "S(x) = (x^2+1)/x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Take the derivative:<BR>\n" );
document.write( "S'(x) = [x(2x)- (x^2+1)]/x^2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Find the zeroes:<BR>\n" );
document.write( "[2x^2 - x^2 - 1] / x^2 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x^2-1) = 0<BR>\n" );
document.write( "x = 1 or x = -1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Max = 1+(1/1) = 2<BR>\n" );
document.write( "Min = -1+ (1/-1) = -1-1 = -2<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );