document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=784937>Question 784937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two numbers have a difference of 24. Find the number if the result of adding their sum and their product is a minimum.\r<BR>\n" );
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document.write( "Can you please help me out and can you show all the steps it would really help me understand. Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477328 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=477328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  two numbers have a difference of 24.<BR>\n" );
document.write( "x - y = 24<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = (x-24)<BR>\n" );
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document.write( " Find the number if the result of adding their sum and their product is a minimum. <BR>\n" );
document.write( "(x+y) + xy<BR>\n" );
document.write( "Replace y with (x-24)<BR>\n" );
document.write( "x + x - 24 + x(x-24)<BR>\n" );
document.write( "2x - 24 + x^2 - 24x<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "y = x^2 - 22x - 24<BR>\n" );
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document.write( "Minimum occurs at the axis of symmetry, <BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F2 ALIGN=MIDDLE  ALT=\"22%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 11,<BR>\n" );
document.write( "find y<BR>\n" );
document.write( "y = 11 - 24<BR>\n" );
document.write( "y = -13<BR>\n" );
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document.write( "The two numbers: 11, -13<BR>\n" );
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