document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481738>Question 481738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rational Expressions / Teachers question: For each equation, state the values of x that would result in division by zero when substituted into the original equation. show your work.\r<BR>\n" );
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document.write( " I will have to write it out as i cannot get the problem to look correct when I make it look like the book. so here goes\r<BR>\n" );
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document.write( "3 over X-9  = 1 over X squared - 9X   plus 2<BR>\n" );
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document.write( "3<BR>\n" );
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document.write( "X-9<BR>\n" );
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document.write( "1<BR>\n" );
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document.write( "X sq - 9x +2\r<BR>\n" );
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document.write( "Thanks in advance  =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329830 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=329830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the problem for reference:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x-9%29=1%2F%28x%5E2-9x%29%2B2 ALIGN=MIDDLE  ALT=\"3%2F%28x-9%29=1%2F%28x%5E2-9x%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "One thing to always remember: You CANNOT divide by zero. So something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F0 ALIGN=MIDDLE  ALT=\"1%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is undefined.\r<BR>\n" );
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document.write( "So this means that the denominators <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-9 ALIGN=MIDDLE  ALT=\"x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x ALIGN=MIDDLE  ALT=\"x%5E2-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" > CANNOT be equal to zero (to avoid division by zero)\r<BR>\n" );
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document.write( "So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-9=0 ALIGN=MIDDLE  ALT=\"x-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This means that if x=9, then the first denominator is zero, which is not allowed.\r<BR>\n" );
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document.write( "Also, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x=0 ALIGN=MIDDLE  ALT=\"x%5E2-9x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-9%29=0 ALIGN=MIDDLE  ALT=\"x%28x-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > when we solve for x. So if x=0 or x=9, then the second denominator will be zero, which is not allowed.\r<BR>\n" );
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document.write( "So the following values of x will result in division by zero: 0, 9 </SPAN>\n" );
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