document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251049>Question 251049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many real number solutions exist for the equation<BR>\n" );
document.write( "Y=x^2+8x+16<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182797 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=182797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A real number \"solution\" is a zero of the given eqaution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B8x+%2B+16 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B8x+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28x%2B4%29%28x%2B4%29 ALIGN=MIDDLE  ALT=\"0+=+%28x%2B4%29%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the real solutions are -4 and -4. There is double root at x=-4. So when you graph this equation, it will 'just touch' the x axis at the point (-4,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B8x%2B16%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );