document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48773>Question 48773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex.  Note: It is not necessary to find the roots; just determine the number and types of solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "m^2 + m + 1 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32305 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=32305\">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=m%5E2+%2B+m+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"m%5E2+%2B+m+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1 b=1 c=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-+4%2Aa%2Ac ALIGN=MIDDLE  ALT=\"b%5E2+-+4%2Aa%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+4 ALIGN=MIDDLE  ALT=\"1+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Two complex roots. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );