document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48771>Question 48771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex.  Note: It is not necessary to find the roots; just determine the number and types of solutions.\r<BR>\n" );
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document.write( "4/3x^2 - 2x + 3/4 = 0\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "2x^2 + 5x + 5 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32307 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=32307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (4/3)x^2 - 2x + 3/4 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-+4%2Aa%2Ac ALIGN=MIDDLE  ALT=\"b%5E2+-+4%2Aa%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+-+4%284%2F3%29%283%2F4%29 ALIGN=MIDDLE  ALT=\"4+-+4%284%2F3%29%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+-+4 ALIGN=MIDDLE  ALT=\"4+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > One real root.<BR>\n" );
document.write( "2x^2 + 5x + 5 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-+4%2Aa%2Ac ALIGN=MIDDLE  ALT=\"b%5E2+-+4%2Aa%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+-+40 ALIGN=MIDDLE  ALT=\"25+-+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15 ALIGN=MIDDLE  ALT=\"-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Two complex roots. </SPAN>\n" );
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