document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767854>Question 767854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all numbers for which the rational expression is not defined: 2x-7/xsquared+5x-24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467884 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is undefined when the denominator is equal to zero.<BR>\n" );
document.write( "Find the value of x that makes the denominator equal to zero.\r<BR>\n" );
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document.write( "2x - 7<BR>\n" );
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document.write( "x² + 5x - 24\r<BR>\n" );
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document.write( "Set the denominator equal to zero and solve for x.\r<BR>\n" );
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document.write( "x² + 5x - 24 = 0 {set the denominator equal to 0}<BR>\n" );
document.write( "(x + 8)(x - 3) = 0 {factored into two binomials}<BR>\n" );
document.write( "x + 8 = 0 or x - 3 = 0 {set each factor equal to 0}<BR>\n" );
document.write( "x = -8 or x = 3 {solved for x}\r<BR>\n" );
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document.write( "The values for x that make the expression undefined are -8 and 3.<BR>\n" );
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