document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49662>Question 49662</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073268623/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem: One on one: Find two positive real numbers that differ by 1 and have a product of 1. and the next one is Swimming pool design: an architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions marked L and W. Assume that L is greater than W. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32976 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=32976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem: One on one: Find two positive real numbers that differ by 1 and have a product of 1.<BR>\n" );
document.write( "LET ONE NUMBER =X...THE OTHER NUMBER IS X-1<BR>\n" );
document.write( "THEIR PRODUCT=X(X-1)=1<BR>\n" );
document.write( "X^2-X-1=0<BR>\n" );
document.write( "X={1+SQRT(1^2+4*1*1)}/2={1+SQRT(5)/2]<BR>\n" );
document.write( "HENCE THE 2 NUMBERS ARE {SQRT(5)+1}/2 AND {SQRT(5)-1}/2<BR>\n" );
document.write( "and the next one is Swimming pool design: an architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions marked L and W. Assume that L is greater than W.<BR>\n" );
document.write( "AREA =LW=352<BR>\n" );
document.write( "FENCING LENGTH =L+W+L=2L+W=60<BR>\n" );
document.write( "W=60-2L<BR>\n" );
document.write( "AREA=L(60-2L)=352<BR>\n" );
document.write( "60L-2L^2=352<BR>\n" );
document.write( "L^2-30L+176=0<BR>\n" );
document.write( "(L-22)(L-8)=0<BR>\n" );
document.write( "L=22....<BR>\n" );
document.write( "W=60-2L=60-44=16 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );