document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123085>Question 123085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> state the excluded values of the variables for each rational expression. it would be really helpfully if u can answer my question plzzzzzz....i really need help.thank you soooo much..<BR>\n" );
document.write( "22 n to the 2nd and then underlined with 11n and if u can solve a few more questions of this kind and longer i would be really glad.<BR>\n" );
document.write( "thank you again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90529 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=90529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As I interpret your problem, you were given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22n%5E2%2F%2811n%29 ALIGN=MIDDLE  ALT=\"22n%5E2%2F%2811n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "and you are to find the excluded variables.<BR>\n" );
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document.write( "In this problem you could make the mistake of simplifying the problem by dividing the 11 in the<BR>\n" );
document.write( "denominator into the 22 of the numerator and then dividing the n in the denominator into<BR>\n" );
document.write( "the n-squared of the numerator to reduce the expression to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22n%5E2%2F%2811n%29+=+%2822%2F11%29%2A%28n%5E2%2Fn%29+=+2%2An ALIGN=MIDDLE  ALT=\"22n%5E2%2F%2811n%29+=+%2822%2F11%29%2A%28n%5E2%2Fn%29+=+2%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then it would look as if n could be any real value. But that is not the case. The real problem <BR>\n" );
document.write( "you have here is with the n in the denominator. If the n in the denominator is zero, then<BR>\n" );
document.write( "you have a division by zero ... and in algebra a division by zero is not allowed. <BR>\n" );
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document.write( "If you took <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Fn ALIGN=MIDDLE  ALT=\"n%5E2%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > and allowed n to be zero, the problem would become zero divided by zero<BR>\n" );
document.write( "and that is not allowed. If you did the division first, you would have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Fn+=+n ALIGN=MIDDLE  ALT=\"n%5E2%2Fn+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then<BR>\n" );
document.write( "if you let n = 0 it would appear OK. But it is not OK because simplifying it first hid the<BR>\n" );
document.write( "fact that a division by zero occurred.<BR>\n" );
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document.write( "So, summing it all up ... n cannot be zero in this problem. Other than that, n can be any<BR>\n" );
document.write( "real number. <BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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