document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36135>Question 36135</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( "z^2 + z + 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 #22130 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=22130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z^2 + z + 1 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "a=1, b=1, c=1<BR>\n" );
document.write( "discriminant = b^2-4ac<BR>\n" );
document.write( "= 1-4=-3<BR>\n" );
document.write( "Since the discrinant is negative <BR>\n" );
document.write( "the equation has no Real Number zeroes.<BR>\n" );
document.write( "It has two complex roots.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );