document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193566>Question 193566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm stuck on this one:\r<BR>\n" );
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document.write( "determine whether the following equation has a real or complex solution<BR>\n" );
document.write( " &#8730;2x^2 -4x-7&#8730;2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145359 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=145359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to find the value of the discriminant of the equation.<BR>\n" );
document.write( "If the discriminant > = 0, then the equation has real solutions. Otherwise only complex solutions.\r<BR>\n" );
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document.write( "Recall that <BR>\n" );
document.write( "The discriminant = <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;\" > for equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx+%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx+%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So<BR>\n" );
document.write( "The discriminant = <BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%5E2-4%2Asqrt%282%29%2A%28-7sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%28-4%29%5E2-4%2Asqrt%282%29%2A%28-7sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2B56 ALIGN=MIDDLE  ALT=\"16%2B56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72 ALIGN=MIDDLE  ALT=\"72\"   DISABLED_style= \"max-width:90%; height:auto;\" > > 0<BR>\n" );
document.write( "So the equation has 2 real roots<BR>\n" );
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