document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36031>Question 36031</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( "x^2 + 6x - 7 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22047 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=22047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you need to know what the discriminant is.<BR>\n" );
document.write( "It is the portion underneath the root in the quadratic formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+highlight%28sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+highlight%28sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "so now using the equation you have ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+6x+-+7+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+6x+-+7+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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( "Plug in the values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%5E2+-+4%2A1%2A%28-7%29+ ALIGN=MIDDLE  ALT=\"+6%5E2+-+4%2A1%2A%28-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+-+4%2A1%2A%28-7%29+ ALIGN=MIDDLE  ALT=\"+36+-+4%2A1%2A%28-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+%2B+28+ ALIGN=MIDDLE  ALT=\"+36+%2B+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+ ALIGN=MIDDLE  ALT=\"+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "because this number is positive, there are 2 roots.<BR>\n" );
document.write( "if the number were 0, there would be one root.<BR>\n" );
document.write( "if the number was negative, there are no roots. </SPAN>\n" );
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