document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331748>Question 331748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what value of n is 4 x^2 + 20x + n^2 = (2x + n)^2 true for any real number x?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237810 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2Bn%29%5E2 ALIGN=MIDDLE  ALT=\"%282x%2Bn%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from boths sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B20x%2Bn%5E2-%282x%2Bn%29%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2%2B20x%2Bn%5E2-%282x%2Bn%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand out and simplify and it whittles down to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x-4nx=0 ALIGN=MIDDLE  ALT=\"20x-4nx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor out x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2820-4n%29=0 ALIGN=MIDDLE  ALT=\"x%2820-4n%29=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=20-4n=0 ALIGN=MIDDLE  ALT=\"20-4n=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when n=5.\r<BR>\n" );
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document.write( "It is true for all x when n=5. </SPAN>\n" );
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