document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715456>Question 715456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of the discriminant for 7x^2+5x+1=0. Then describe the number and type of roots for the equation.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439520 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=439520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The discriminant, in general, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If the value of the discriminant is...<ul><li>positive, then there are two distinct real roots</li><li>negative, then there to two distinct complex roots</li><li>zero, then there is one (double) real root</li></ul>The discriminant for your equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%5E2-4%287%29%281%29+=+25+-+4%287%29%281%29+=+25+-+28+=+-3 ALIGN=MIDDLE  ALT=\"%285%29%5E2-4%287%29%281%29+=+25+-+4%287%29%281%29+=+25+-+28+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So there are two complex roots. </SPAN>\n" );
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