document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11856>Question 11856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two numbers differ by 6, then what is the least possible value of their product? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6067 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = first number<BR>\n" );
document.write( "x+6 = second number\r<BR>\n" );
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document.write( "Let y = product of the numbers<BR>\n" );
document.write( "y = x(x+6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+6x ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Graph the equation of this parabola, and find the lowest value of y, which is the vertex of the parabola.  Algebraically, the vertex will always be at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where a=1, b=6 as in the quadratic formula!) so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-6%2F2+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-6%2F2+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also halfway between the x intercepts, which would be at x=0 and x= -6.  The minimum value of the product of the numbers would be <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3%29%5E2+%2B+6%28-3%29+=+9-18+=+-9 ALIGN=MIDDLE  ALT=\"y+=+%28-3%29%5E2+%2B+6%28-3%29+=+9-18+=+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+%2B+6x%29 ALIGN=MIDDLE  ALT=\"graph+%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+%2B+6x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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