document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219013>Question 219013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x2+16x+a = (x+b)2  \r<BR>\n" );
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document.write( "In the equation above, a and b are constants. If the equation is true for all <BR>\n" );
document.write( "values of x, what is the value of a ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164790 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=164790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B16x%2Ba=%28x%2Bb%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B16x%2Ba=%28x%2Bb%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B16x%2Ba=x%5E2%2B2xb%2Bb%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B16x%2Ba=x%5E2%2B2xb%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the right side.\r<BR>\n" );
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document.write( "Take note that the terms 16x and 2xb both have \"x\" terms (without an exponent). So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x=2xb ALIGN=MIDDLE  ALT=\"16x=2xb\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Divide both sides by 2x to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=b ALIGN=MIDDLE  ALT=\"8=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=8 ALIGN=MIDDLE  ALT=\"b=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the term \"a\" does not have an \"x\" and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > doesn't have an \"x\" either. So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%5E2 ALIGN=MIDDLE  ALT=\"a=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=8 ALIGN=MIDDLE  ALT=\"b=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=8%5E2=64 ALIGN=MIDDLE  ALT=\"a=8%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=64 ALIGN=MIDDLE  ALT=\"a=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B16x%2B64=%28x%2B8%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B16x%2B64=%28x%2B8%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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