document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235508>Question 235508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For these problems I need use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. It is not necessary to find the roots; just determine the number and types of solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "2x^2 + 5x + 5 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173454 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=173454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> just determine the number and types of solutions. <BR>\n" );
document.write( "2x^2 + 5x + 5 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a = 2 ; b = 5 ; c = 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "discriminant = b^2-4ac = 25 -4*2*5 = -15<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Since the discriminant is negative the<BR>\n" );
document.write( "quadratic has two unequal Complex Number solutions.<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );