document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442433>Question 442433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/ x-1   +  1/2  =  2/  x^2 -1\r<BR>\n" );
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document.write( "I am trying to help my daughter with this problem, but I can't get it to work out.  Can you please show how to explain.  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 #305152 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "For this one: 1/ x-1 + 1/2 = 2/ x^2 -1  I'm assuming the x-1 and the x^2-1 are in the denominator. If so we can do the following:<BR>\n" );
document.write( "Multiply by (x-1)(x+1) to get:<BR>\n" );
document.write( "(x+1)+ 1/2(x-1)(x+1)<BR>\n" );
document.write( "NOw let's multiply by 2 to get rid of the fraction:<BR>\n" );
document.write( "2(x+1)+(x-1)(x+1) = 4<BR>\n" );
document.write( "Expand this out:<BR>\n" );
document.write( "x^2+2x+1=4<BR>\n" );
document.write( "Now subtract 4 from both sides to get:<BR>\n" );
document.write( "x^2+2x-3=0<BR>\n" );
document.write( "Now factor:<BR>\n" );
document.write( "(x-1)(x+3)=0<BR>\n" );
document.write( "Solve for x<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "x=-3<BR>\n" );
document.write( "x=1 doesn't work but <BR>\n" );
document.write( "x=-3 works so there we go. <BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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