document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188726>Question 188726</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the difference of two numbers is 6.  Find their minimum product </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141544 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=141544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"the difference of two numbers is 6\"---> x-y=6 --->y=x-6\r<BR>\n" );
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document.write( "\"Find their minimum product\" ---> P=xy=x(x-6)=x^2-6x\r<BR>\n" );
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document.write( "Minimum occurs at vertex. Vertex\r<BR>\n" );
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document.write( "x=-b/2a=-(-6)/(2(1))=6/2=3 ---> y=3-6=-3\r<BR>\n" );
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document.write( "P=x^2-6x=(3)^2-6(3)=9-18=-9\r<BR>\n" );
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document.write( "Ans: two numbers are -3 and 3. Min product is -9\r<BR>\n" );
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