document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113539>Question 1113539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many real roots/solutions does<BR>\n" );
document.write( "9x^2+12x=&#8722;4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728589 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many real roots/solutions does<BR>\n" );
document.write( "9x^2+12x= -4<BR>\n" );
document.write( "9x^2+12x + 4 = 0<BR>\n" );
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document.write( "Find the discriminant<BR>\n" );
document.write( "Disc = b^2 - 4ac<BR>\n" );
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document.write( "Disc < 0 --> no real roots<BR>\n" );
document.write( "Disc = 0 --> 2 real roots that are equal, eg 2 & 2<BR>\n" );
document.write( "Disc > 0 --> 2 real roots that are not equal, eg 2 & 3<BR>\n" );
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document.write( "A quadratic always has 2 roots.  Sometimes the 2 are equal, called \"multiplicity 2.\"<BR>\n" );
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document.write( "A cubic always has 3.<BR>\n" );
document.write( "A quartic always has 4.<BR>\n" );
document.write( "Etc.<BR>\n" );
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