document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992286>Question 992286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real or imaginary solutions for the following equation:\r<BR>\n" );
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document.write( "(1/x) + 1/(x-1) = (3/2)\r<BR>\n" );
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document.write( "I have really been struggling with using imaginaries and fractions. Help is greatly appreciated.<BR>\n" );
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 #611887 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=611887\">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( "Remember how to add fractions with different denominators.  You find the common denominator, convert, and add the numerators.  If the two denominators have no factors in common, then the lowest common denominator is simply 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{x\ +\ 1\ +\ x}{x^2\ +\ x}\ =\ \frac{3}{2}\">\r<BR>\n" );
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document.write( "Now you have a simple proportion.  Cross-multiply, collect like terms, and then solve the resulting quadratic.  Said quadratic is factorable and therefore has two real roots.\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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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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