document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31920>Question 31920</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.<BR>\n" );
document.write( "Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18519 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=18519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-6x+5=0<BR>\n" );
document.write( "discrimant;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6%29%5E2 ALIGN=MIDDLE  ALT=\"%28-6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-4(1)(5)<BR>\n" );
document.write( "36-20=16<BR>\n" );
document.write( "The graph will have two solutions because the answer is positive.\r<BR>\n" );
document.write( "\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2 ALIGN=MIDDLE  ALT=\"4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-12y+9=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%29%5E2 ALIGN=MIDDLE  ALT=\"%28-12%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-4(4)(9)<BR>\n" );
document.write( "144-144=0<BR>\n" );
document.write( "The graph will have one solution because the answer is 0.\r<BR>\n" );
document.write( "\n" );
document.write( "3)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%5E2 ALIGN=MIDDLE  ALT=\"3p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-p+2=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-4(3)(2)<BR>\n" );
document.write( "1-24=-23<BR>\n" );
document.write( "The graph will have no solutions because the answer is negative.<BR>\n" );
document.write( "=) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );