document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760578>Question 760578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve the inequality of x^2 > 5x-8.<BR>\n" );
document.write( "I am having troubles factoring it out.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462756 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=462756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%3E+5x-8 ALIGN=MIDDLE  ALT=\"x%5E2+%3E+5x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B8+%3E+5x-8-5x%2B8 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B8+%3E+5x-8-5x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B8%3E0 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B8%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The quadratic expression is not factorable.  You cannot use 8 and 1 whichever sign combination you use; and you cannot use 2 and 4, whichever sign combination you use.  Just use general solution to quadratic formula to find the critical points (where the quadratic expression would be zero).\r<BR>\n" );
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document.write( "Critical points for  inequality at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2B-+sqrt%2825-4%2A8%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%285%2B-+sqrt%2825-4%2A8%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which are complex with imaginary parts.<BR>\n" );
document.write( "Same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2B-+sqrt%28-7%29%29%2F2 ALIGN=MIDDLE  ALT=\"%285%2B-+sqrt%28-7%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The given inequality does NOT intersect the x-axis so has no real critical points.  Just check any point for x.  Either the inequality is true or it is false, for ALL values of x. </SPAN>\n" );
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