document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146425>Question 146425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of d such that\r<BR>\n" );
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document.write( "u2-12u+d\r<BR>\n" );
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document.write( "is a perfect square </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106903 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are looking for the perfect square such that, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u%2Ba%29%5E2=u%5E2-12u%2Bd ALIGN=MIDDLE  ALT=\"%28u%2Ba%29%5E2=u%5E2-12u%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you expand the left hand side, you get,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u%2Ba%29%5E2=u%5E2%2B2au%2Ba%5E2 ALIGN=MIDDLE  ALT=\"%28u%2Ba%29%5E2=u%5E2%2B2au%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In your example,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2au=-12u ALIGN=MIDDLE  ALT=\"2au=-12u\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-6 ALIGN=MIDDLE  ALT=\"a=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you match up values, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=a%5E2 ALIGN=MIDDLE  ALT=\"d=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%28-6%29%5E2 ALIGN=MIDDLE  ALT=\"d=%28-6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=36 ALIGN=MIDDLE  ALT=\"d=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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