document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298071>Question 298071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the directions of my homework say , \"state the value of the discrimnant for each equation. Then determine the number of real roots of the equation.\" I'm not sure how to solve the problems. For example one of the problems are \"q^2+4q+3=0\" \r<BR>\n" );
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document.write( "thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214519 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The discriminant is the quantity inside the radical of the quadratic formula.  This 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;\" >.  It turns out that if the discriminant is positive, then there will be two real roots; if the discriminant is 0, then there will be one (double!) real root; and if the discriminant is negative, there will be NO real roots--in other words the roots will be complex.\r<BR>\n" );
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document.write( "In your example, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B4x%2B3=0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B4x%2B3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2+-4%2A1%2A3 ALIGN=MIDDLE  ALT=\"4%5E2+-4%2A1%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-12=4 ALIGN=MIDDLE  ALT=\"16-12=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Since this is positive, there are TWO real roots.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida </SPAN>\n" );
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