document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310609>Question 310609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	For equation, state the value of the discriminate and describe the nature of the solutions:<BR>\n" );
document.write( "&#12310;4x&#12311;^2-6x+13=0<BR>\n" );
document.write( "Discriminate =_________<BR>\n" );
document.write( "2 real solutions or<BR>\n" );
document.write( "1 real solution or<BR>\n" );
document.write( "2 imaginary solutions<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 #222096 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is discriminate?  I think you meant to type discriminant.\r<BR>\n" );
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document.write( "The discriminant is the term that lies in the radicand of the quadratic formula.\r<BR>\n" );
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document.write( "b^2 - 4ac = discriminant.\r<BR>\n" );
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document.write( "In this sample, a = 4, b = -6 and c = 13.\r<BR>\n" );
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document.write( "We now plug and chug.\r<BR>\n" );
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document.write( "(-6)^2 - 4(4)(13) = \r<BR>\n" );
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document.write( "36 - 4(52) =\r<BR>\n" );
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document.write( "36 - 208 = -172\r<BR>\n" );
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document.write( "Since the result is a negative number, there are two complex roots.  In other words, there are 2 imaginary roots as solutions.\r<BR>\n" );
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