document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29420>Question 29420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve and check each of follwoing equations for x.\r<BR>\n" );
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document.write( "x/x-2 - x+1/x = 8/x^2-2x\r<BR>\n" );
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document.write( "Please help.\r<BR>\n" );
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document.write( "Thank you very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16630 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x/(x-2) - (x+1)/x = 8/(x^2-2x) ----(1)<BR>\n" );
document.write( "x/(x-2) - (x+1)/x = 8/x(x-2)<BR>\n" );
document.write( "Multiplying by x(x-2) through out<BR>\n" );
document.write( "xX(x)-(x+1)(x-2)= 8<BR>\n" );
document.write( "x^2-[x(x-2)+1(x-2)] = 8<BR>\n" );
document.write( "x^2-[x^2-2x+x-2] = 8<BR>\n" );
document.write( "x^2-x^2+2x-x+2 = 8<BR>\n" );
document.write( "x+2 = 8 <BR>\n" );
document.write( "x = 8-2 = 6<BR>\n" );
document.write( "Answer: x = 6<BR>\n" );
document.write( "Verification:x= 6 in (1)<BR>\n" );
document.write( "LHS = 6/4-7/6 = (18-14)/12 =4/12= 1/3<BR>\n" );
document.write( "RHS = 8/(36-12) = 8/24 = 1/3 =LHS\r<BR>\n" );
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