document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819516>Question 819516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number subtracted from another is 11. The product of the two numbers is a minimum. What are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #493136 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=493136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p = the product of the two numbers, x and y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x=11 ALIGN=MIDDLE  ALT=\"y-x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=p ALIGN=MIDDLE  ALT=\"xy=p\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=x%2A%28x%2B11%29=x%5E2%2B11x ALIGN=MIDDLE  ALT=\"p=x%2A%28x%2B11%29=x%5E2%2B11x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A parabola with a minimum.  Looking back at the factored form for p, roots are at x=0 and x=-11.<BR>\n" );
document.write( "The minimum occurs exactly in the middle, for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-11%261%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-11%261%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; find also that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=11%2B%28-5%261%2F2%29=highlight%285%261%2F2=y%29 ALIGN=MIDDLE  ALT=\"y=11%2B%28-5%261%2F2%29=highlight%285%261%2F2=y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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