document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7209>Question 7209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the discriminant to determine how many real number solutions the quadratic equation -4j2 + 3j - 28 = 0  has. please and thank you!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3982 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=3982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The discriminant is the formula <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;\" >. So, where do the a,b, and c come from? It comes from quadratic equation once it's already in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ax%5E2+%2B+bx+%2B+c+=+0+ ALIGN=MIDDLE  ALT=\"+ax%5E2+%2B+bx+%2B+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4j%5E2+%2B+3j+-+28+=+0+ ALIGN=MIDDLE  ALT=\"+-4j%5E2+%2B+3j+-+28+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is already in the correct form, so you can readily pull out the a, b, and c. For this one, the a = -4, b = 3, and c = -28. We'll plug those into the discriminant formula and see what kind of value we'll get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E2+-+4%28-4%29%28-28%29+=+9+-+448+=+-439+ ALIGN=MIDDLE  ALT=\"+3%5E2+-+4%28-4%29%28-28%29+=+9+-+448+=+-439+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The discriminant turned out to be a negative number. This means that your quadratic equation has no real number solutions.\r<BR>\n" );
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document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+-+4ac+%3C+0+ ALIGN=MIDDLE  ALT=\"+b%5E2+-+4ac+%3C+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, quadratic equation has NO SOLUTION.<BR>\n" );
document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+-+4ac+=+0+ ALIGN=MIDDLE  ALT=\"+b%5E2+-+4ac+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, quadratic equation has EXACTLY 1 SOLUTION.<BR>\n" );
document.write( "IF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+-+4ac+%3E+0+ ALIGN=MIDDLE  ALT=\"+b%5E2+-+4ac+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, quadratic equation has EXACTLY 2 SOLUTIONS. </SPAN>\n" );
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