document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777419>Question 777419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, how do I solve and graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x%5E2+%2B+31x+%3C=+-12 ALIGN=MIDDLE  ALT=\"+9x%5E2+%2B+31x+%3C=+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<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 #474056 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Step 1:  Factor and solve the quadratic: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9x^2\ +\ 31\ +\ 12\ =\ 0\">\r<BR>\n" );
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document.write( "Step 2:  Plot the two zeros on the x-axis\r<BR>\n" );
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document.write( "Step 3:  Note that the two zeros effectively divide the x-axis into three regions, smaller than the smaller zero, between the two zeros, and larger than the larger zero.  Pick a value from each of the three regions that is NOT one of the zeros and determine the truth value of the given relation for each of the selected values.  The interval or intervals where the relation is true is the solution set of your equation.  Remember to include the endpoints in your statement and graph of the solution set because the relational operator <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\leq\right)\"> is inclusive of equals.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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