document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42123>Question 42123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:   [n/(n-4)]+n=(12-4n)/(n-4).\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27273 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27273\">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=n%2F%28n-4%29%2Bn=%2812-4n%29%2F%28n-4%29 ALIGN=MIDDLE  ALT=\"n%2F%28n-4%29%2Bn=%2812-4n%29%2F%28n-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+%2B+n%28n-4%29%29%2F%28n-4%29=%2812-4n%29%2F%28n-4%29 ALIGN=MIDDLE  ALT=\"%28n+%2B+n%28n-4%29%29%2F%28n-4%29=%2812-4n%29%2F%28n-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+%2B+n%5E2-4n%29%2F%28n-4%29=%2812-4n%29%2F%28n-4%29 ALIGN=MIDDLE  ALT=\"%28n+%2B+n%5E2-4n%29%2F%28n-4%29=%2812-4n%29%2F%28n-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-3n=12-4n ALIGN=MIDDLE  ALT=\"n%5E2-3n=12-4n\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "[when 'n' not equal to 4; as otherwise division by (n-4) is division by 0 which is undefined]<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Bn-12=0 ALIGN=MIDDLE  ALT=\"n%5E2%2Bn-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A1%2A%28-12%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A1%2A%28-12%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%281+%2B-+sqrt%28+49+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"n+=+%281+%2B-+sqrt%28+49+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%281+%2B-+7%29%2F2+ ALIGN=MIDDLE  ALT=\"n+=+%281+%2B-+7%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore either n = 4 or n = -3.<BR>\n" );
document.write( "Now, we have already seen that the equation is not valid for n = 4.<BR>\n" );
document.write( "So the only solution is n = -3. </SPAN>\n" );
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