document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150766>Question 1150766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if p(x+y) = 2x² +3y², and q(x+y)=4x-18y-39, where x and y are real numbers, what is the minimum value of p(x+y)-q(x+y)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772198 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%2By%29+=+2x%5E2+%2B3y%5E2 ALIGN=MIDDLE  ALT=\"p%28x%2By%29+=+2x%5E2+%2B3y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%28x%2By%29=4x-18y-39 ALIGN=MIDDLE  ALT=\"q%28x%2By%29=4x-18y-39\"   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=p%28x%2By%29-q%28x%2By%29=2x%5E2+%2B3y%5E2-%284x-18y-39%29 ALIGN=MIDDLE  ALT=\"p%28x%2By%29-q%28x%2By%29=2x%5E2+%2B3y%5E2-%284x-18y-39%29\"   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=p%28x%2By%29-q%28x%2By%29=2x%5E2+%2B3y%5E2-4x%2B18y%2B39 ALIGN=MIDDLE  ALT=\"p%28x%2By%29-q%28x%2By%29=2x%5E2+%2B3y%5E2-4x%2B18y%2B39\"   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=2x%5E2+%2B3y%5E2-4x%2B18y%2B39=0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B3y%5E2-4x%2B18y%2B39=0\"   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=%282x%5E2+-4x%29%2B%283y%5E2%2B18y%29%2B39=0 ALIGN=MIDDLE  ALT=\"%282x%5E2+-4x%29%2B%283y%5E2%2B18y%29%2B39=0\"   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=2%28x%5E2+-2x%2Bb%5E2%29-2b%5E2%2B3%28y%5E2%2B6y%2Bb%5E2%29-3b%5E2%2B39=0 ALIGN=MIDDLE  ALT=\"2%28x%5E2+-2x%2Bb%5E2%29-2b%5E2%2B3%28y%5E2%2B6y%2Bb%5E2%29-3b%5E2%2B39=0\"   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=2%28x%5E2+-2x%2B1%5E2%29-2%2A1%5E2%2B3%28y%5E2%2B6y%2B3%5E2%29-3%2A3%5E2%2B39=0 ALIGN=MIDDLE  ALT=\"2%28x%5E2+-2x%2B1%5E2%29-2%2A1%5E2%2B3%28y%5E2%2B6y%2B3%5E2%29-3%2A3%5E2%2B39=0\"   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=2%28x+-1%29%5E2-2%2B3%28y%2B3%29%5E2-27%2B39=0 ALIGN=MIDDLE  ALT=\"2%28x+-1%29%5E2-2%2B3%28y%2B3%29%5E2-27%2B39=0\"   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=2%28x+-1%29%5E2%2B3%28y%2B3%29%5E2-29%2B39=0 ALIGN=MIDDLE  ALT=\"2%28x+-1%29%5E2%2B3%28y%2B3%29%5E2-29%2B39=0\"   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=2%28x+-1%29%5E2%2B3%28y%2B3%29%5E2%2B10=0 ALIGN=MIDDLE  ALT=\"2%28x+-1%29%5E2%2B3%28y%2B3%29%5E2%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, minimum value will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-1%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x+-1%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=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=%28y%2B3%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28y%2B3%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "minimum value will be when<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%2By%29-q%28x%2By%29=0%2B0%2B10=10 ALIGN=MIDDLE  ALT=\"+p%28x%2By%29-q%28x%2By%29=0%2B0%2B10=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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