document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209910>Question 209910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two positive numbers is 1 and their difference is 3/2. Find the larger number. PLEASE explain how to do it??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158654 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=158654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = the larger number and b = the smaller number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab+=+1 ALIGN=MIDDLE  ALT=\"a%2Ab+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b+=+3%2F2 ALIGN=MIDDLE  ALT=\"a-b+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+b%2B3%2F2 ALIGN=MIDDLE  ALT=\"a+=+b%2B3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B3%2F2%29%2Ab+=+1 ALIGN=MIDDLE  ALT=\"%28b%2B3%2F2%29%2Ab+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B%283%2F2%29b+=+1 ALIGN=MIDDLE  ALT=\"b%5E2%2B%283%2F2%29b+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B%283%2F2%29b-1+=+0 ALIGN=MIDDLE  ALT=\"b%5E2%2B%283%2F2%29b-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by 2 to clear the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E2%2B3b-2+=+0 ALIGN=MIDDLE  ALT=\"2b%5E2%2B3b-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this trinomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282b-1%29%28b%2B2%29+=+0 ALIGN=MIDDLE  ALT=\"%282b-1%29%28b%2B2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b-1+=+0 ALIGN=MIDDLE  ALT=\"2b-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B2+=+0 ALIGN=MIDDLE  ALT=\"b%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b+=+1 ALIGN=MIDDLE  ALT=\"2b+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-2 ALIGN=MIDDLE  ALT=\"b+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the numbers are to be positive.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b+=+1 ALIGN=MIDDLE  ALT=\"2b+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1%2F2 ALIGN=MIDDLE  ALT=\"b+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the smaller number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+b%2B3%2F2 ALIGN=MIDDLE  ALT=\"a+=+b%2B3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute b = 1/2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1%2F2+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"a+=+1%2F2+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28b+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the larger number.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab+=+%282%29%2A%281%2F2%29 ALIGN=MIDDLE  ALT=\"a%2Ab+=+%282%29%2A%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab+=+1 ALIGN=MIDDLE  ALT=\"a%2Ab+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b+=+2-1%2F2 ALIGN=MIDDLE  ALT=\"a-b+=+2-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b+=+3%2F2 ALIGN=MIDDLE  ALT=\"a-b+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );