document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290748>Question 290748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x/2 + 1/x-1 = x/x-1\r<BR>\n" );
document.write( "\n" );
document.write( "thank you for the help for solving this equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210373 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=210373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F2%29%2B%281%2F%28x-1%29%29+=+x%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28x%2F2%29%2B%281%2F%28x-1%29%29+=+x%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The lowest common denominator (LCD) is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-1%29 ALIGN=MIDDLE  ALT=\"2%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x-1%29%2F2%28x-1%29%29%2B2%2F%282%28x-1%29%29+=+2x%2F%282%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x-1%29%2F2%28x-1%29%29%2B2%2F%282%28x-1%29%29+=+2x%2F%282%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-1%29 ALIGN=MIDDLE  ALT=\"2%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear the fractions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-1%29%2B2+=+2x ALIGN=MIDDLE  ALT=\"x%28x-1%29%2B2+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x%2B2+=+2x ALIGN=MIDDLE  ALT=\"x%5E2-x%2B2+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B2+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-2%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+0 ALIGN=MIDDLE  ALT=\"x-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2+=+0 ALIGN=MIDDLE  ALT=\"x-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "However, notice that when you substitute x = 1 into the given equation, you will get undefined terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F2%29%2B%281%2F%28x-1%29%29+=+x%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28x%2F2%29%2B%281%2F%28x-1%29%29+=+x%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2B%281%2F%281-1%29%29+=+1%2F%281-1%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2B%281%2F%281-1%29%29+=+1%2F%281-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2B1%2F0+=+1%2F0 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2B1%2F0+=+1%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F0 ALIGN=MIDDLE  ALT=\"1%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is undefined, so x = 1 is an excluded solution.<BR>\n" );
document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );