document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85393>Question 85393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )<BR>\n" );
document.write( "•	Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Choose values of a, b and c to create a particular discriminant.  Then, graph the corresponding equation. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61586 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=61586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Negative Discriminant:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2+-+4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2+-+4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +- i<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-4%29 ALIGN=MIDDLE  ALT=\"sqrt%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +- 2i<BR>\n" );
document.write( "Two Imaginary Roots<BR>\n" );
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document.write( "Positive Discriminant:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2+-+4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2+-+4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%29 ALIGN=MIDDLE  ALT=\"sqrt%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +- 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +- 2<BR>\n" );
document.write( "Two Real Roots<BR>\n" );
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document.write( "Discriminant of Zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2+-+4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2+-+4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%280%29 ALIGN=MIDDLE  ALT=\"sqrt%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "One Real Root<BR>\n" );
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document.write( "I hope this helps.... </SPAN>\n" );
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