document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004808>Question 1004808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve: <BR>\n" );
document.write( "2/(x-1) - 1/2 = 4/(x^2-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853924 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53746)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"2%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%5E2-1%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The solution in the post by @mananth is incorrect.\r<BR>\n" );
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document.write( "@mananth found two potential solutions,  x = 3 OR x=1, and presented them as a final solution.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is the &nbsp;ERROR.\r<BR>\n" );
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document.write( "In reality, only ONE of these two potential solutions is a real solution: it is x = 3.\r<BR>\n" );
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document.write( "x=1 is not in the domain of the equation, and, therefore, should be rejected.\r<BR>\n" );
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document.write( "It is a standard check to reject extraneous solutions, but @mananth neglects to make this check.\r<BR>\n" );
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document.write( "The correct answer is  x = 3, the only one single unique solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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