document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14278>Question 14278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been learning how to solve quadratic inequalties at school recently. I have no problems with them. But I am not sure how quadratic inequalities with a negative x^2 will be solved. i've been taught to use the graphical method of solving them. any help?\r<BR>\n" );
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document.write( "e.g. \r<BR>\n" );
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document.write( "y<-x^2+3x-8<BR>\n" );
document.write( "y>-2x^2-7x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7158 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C-x%5E2%2B3x-8 ALIGN=MIDDLE  ALT=\"y%3C-x%5E2%2B3x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have to find the roots first, this being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B3x-8=0 ALIGN=MIDDLE  ALT=\"-x%5E2%2B3x-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We can just re-arrange this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B8=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve that one.\r<BR>\n" );
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document.write( "Remember that when x^2 is +ve --> shape looks like a \"u\"<BR>\n" );
document.write( "and that when x^2 is -ve --> shape looks like a \"n\"\r<BR>\n" );
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document.write( "So, once you have found the 2 roots, make sure your graph is n-shaped through those 2 points.\r<BR>\n" );
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document.write( "Look at th eQ now..where is y less than... it is less than to the left of the left root and to the right of the right root.\r<BR>\n" );
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document.write( "Hope this helps?... a bit difficult within good diagrams.\r<BR>\n" );
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document.write( "I think i have Lessons on this website too, so look at those to help you.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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