document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3222>Question 3222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been out of school for 10 years and I need help on the quadratic inequality<BR>\n" );
document.write( "x^2+4x+6>or=3  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1399 by </B><A HREF=/tutors/aboutme.mpl?userid=drglass><B>drglass(89)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drglass><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=1399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, solve the equation:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+%2B+6+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+%2B+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation has the form:<br><BR>\n" );
document.write( "<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;\" >, where a = 1, b = 4 and c =6<br><BR>\n" );
document.write( "This problem does not have neat factors, so we apply the quadratic equation:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29%29 ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Using the values for a, b and c we just identified, the quadratic equation becomes:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4+%2B-+sqrt%284%5E2+-+4%2A6%29%29%2F2+=+%28-4+%2B-+sqrt%2816+-+24%29%29%2F2+=+%28-4+%2B-+sqrt%28-8%29%29%2F2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "This is a complex number! To find where this equation is less than 3 depends on what you mean by less than when talking about complex numbers.<br><BR>\n" );
document.write( "To answer this correctly, I would ask you to verify the equation then I would ask you to define less than for complex numbers.<br><BR>\n" );
document.write( "In any case, the roots of the equation are:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%2B-+sqrt%28-2%29+=+-2+%2B+sqrt%282%29i ALIGN=MIDDLE  ALT=\"-2+%2B-+sqrt%28-2%29+=+-2+%2B+sqrt%282%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+-+sqrt%282%29i ALIGN=MIDDLE  ALT=\"-2+-+sqrt%282%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );