document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199270>Question 199270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me solve this question:\r<BR>\n" );
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document.write( "(n over n-4/9)- (n over n+4/9)= (1 over n) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149719 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=149719\">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%2F9%29-n%2F%28n%2B4%2F9%29=1%2Fn ALIGN=MIDDLE  ALT=\"n%2F%28n-4%2F9%29-n%2F%28n%2B4%2F9%29=1%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2F%28%281%2F9%29%289n-4%29%29-n%2F%28%281%2F9%29%289n%2B4%29%29=1%2Fn ALIGN=MIDDLE  ALT=\"n%2F%28%281%2F9%29%289n-4%29%29-n%2F%28%281%2F9%29%289n%2B4%29%29=1%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to make the inside terms have whole numbers)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289n%29%2F%289n-4%29-%289n%29%2F%289n%2B4%29=1%2Fn ALIGN=MIDDLE  ALT=\"%289n%29%2F%289n-4%29-%289n%29%2F%289n%2B4%29=1%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator by the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   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=n%2Across%28%289n-4%29%29%289n%2B4%29%28%289n%29%2Fcross%28%289n-4%29%29%29-n%289n-4%29cross%28%289n%2B4%29%29%28%289n%29%2Fcross%28%289n%2B4%29%29%29=cross%28n%29%289n-4%29%289n%2B4%29%28%281%29%2Fcross%28n%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <font size=\"4\"><b>every</b></font> term on both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%289n-4%29%289n%2B4%29 ALIGN=MIDDLE  ALT=\"n%289n-4%29%289n%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Doing this will eliminate all of the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%289n%2B4%29%289n%29-n%289n-4%29%289n%29=%289n-4%29%289n%2B4%29 ALIGN=MIDDLE  ALT=\"n%289n%2B4%29%289n%29-n%289n-4%29%289n%29=%289n-4%29%289n%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9n%2An%289n%2B4%29-9n%2An%289n-4%29=%289n-4%29%289n%2B4%29 ALIGN=MIDDLE  ALT=\"9n%2An%289n%2B4%29-9n%2An%289n-4%29=%289n-4%29%289n%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9n%5E2%289n%2B4%29-9n%5E2%289n-4%29=%289n-4%29%289n%2B4%29 ALIGN=MIDDLE  ALT=\"9n%5E2%289n%2B4%29-9n%5E2%289n-4%29=%289n-4%29%289n%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81n%5E3%2B36n%5E2-81n%5E3%2B36n%5E2=%289n-4%29%289n%2B4%29 ALIGN=MIDDLE  ALT=\"81n%5E3%2B36n%5E2-81n%5E3%2B36n%5E2=%289n-4%29%289n%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72n%5E2=%289n-4%29%289n%2B4%29 ALIGN=MIDDLE  ALT=\"72n%5E2=%289n-4%29%289n%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72n%5E2=81n%5E2-16 ALIGN=MIDDLE  ALT=\"72n%5E2=81n%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72n%5E2-81n%5E2=-16 ALIGN=MIDDLE  ALT=\"72n%5E2-81n%5E2=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81n%5E2 ALIGN=MIDDLE  ALT=\"81n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9n%5E2=-16 ALIGN=MIDDLE  ALT=\"-9n%5E2=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2=-16%2F%28-9%29 ALIGN=MIDDLE  ALT=\"n%5E2=-16%2F%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -9.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2=16%2F9 ALIGN=MIDDLE  ALT=\"n%5E2=16%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%22%22%2B-sqrt%2816%2F9%29 ALIGN=MIDDLE  ALT=\"n=%22%22%2B-sqrt%2816%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=sqrt%2816%2F9%29 ALIGN=MIDDLE  ALT=\"n=sqrt%2816%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-sqrt%2816%2F9%29 ALIGN=MIDDLE  ALT=\"n=-sqrt%2816%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the \"plus/minus\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=4%2F3 ALIGN=MIDDLE  ALT=\"n=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-4%2F3 ALIGN=MIDDLE  ALT=\"n=-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F9 ALIGN=MIDDLE  ALT=\"16%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=4%2F3 ALIGN=MIDDLE  ALT=\"n=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-4%2F3 ALIGN=MIDDLE  ALT=\"n=-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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