document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986000>Question 986000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 3x+1/x+1 + 2x-1/x-1=1.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606996 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=606996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3x\ +\ 1}{x\ +\ 1}\ +\ \frac{2x\ -\ 1}{x\ -\ 1}\ =\ 1\">\r<BR>\n" );
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document.write( "The two denominators have no common factors, hence the lowest common denominator is the product of the two denominators.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{(3x\ +\ 1)(x\ -\ 1)}{x^2\ -\ 1}\ +\ \frac{(2x\ -\ 1)(x\ +\ 1)}{x^2\ -\ 1}\ =\ 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3x^2\ -\ 2x\ -1\ +\ 2x^2\ +\ x\ -\ 1}{x^2\ -\ 1}\ =\ 1\">\r<BR>\n" );
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document.write( "Multiply both sides by the denominator in the LHS.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3x^2\ -\ 2x\ -\ 1\ +\ 2x^2\ +\ x\ -\ 1\ =\ x^2\ -\ 1\">\r<BR>\n" );
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document.write( "Collect like terms and put them in the LHS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 4x^2\ -\ x\ -\ 1\ =\ 0\">\r<BR>\n" );
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document.write( "Solve the quadratic.  It doesn't factor so use the Quadratic Formula.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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