document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29996>Question 29996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this problem \r<BR>\n" );
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document.write( "Solve for x \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+over+x%5E2-2x+%2B+4+over+x ALIGN=MIDDLE  ALT=\"10+over+x%5E2-2x+%2B+4+over+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 over x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16819 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=16819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10 over x^2-2x + 4 over x = 5 over x-2<BR>\n" );
document.write( "10/(x^2-2x) + 4/x = 5/(x-2) ----(1)<BR>\n" );
document.write( "10/x(x-2) + 4/x = 5/(x-2)<BR>\n" );
document.write( "Multiplying by x(x-2) through out<BR>\n" );
document.write( "10+4(x-2)=5x  ----(2)<BR>\n" );
document.write( "10+4x-8 = 5x<BR>\n" );
document.write( "(10-8) = 5x-4x (grouping like terms,changing sign while changing side)<BR>\n" );
document.write( "2 = x<BR>\n" );
document.write( "That is x = 2<BR>\n" );
document.write( "Verification:Putting x= 2 in (1) we arrive at division by zero which is not defined as 0 does not have multiplicative inverse<BR>\n" );
document.write( "The value x = 2 holds in the version (2) of the problem where there is no division by the factor (x-2)<BR>\n" );
document.write( "Note:Why 0 does not have multiplicative inverse?<BR>\n" );
document.write( "Any real number a NOT ZERO is said to have multiplicative iverse b NOT ZERO only when (b)X(a) = 1 = (a)X(b)<BR>\n" );
document.write( "We call this b the multiplicative inverse of a and write b as b = (1/a)<BR>\n" );
document.write( "Why should a (or for that matter) be NOT ZERO?<BR>\n" );
document.write( "Supposing a= 0<BR>\n" );
document.write( "and if it should have multiplicative inverse then we should find that something called inverse of zer0 so that <BR>\n" );
document.write( "(0)X(something)=1 =(that same something)X(0)<BR>\n" );
document.write( "But then we know that (0) X (anything ) is always zero and NOT 1 <BR>\n" );
document.write( "Hence 0 does not have multiplicative inverse.<BR>\n" );
document.write( "That is the multiplicative inverse of 0  <BR>\n" );
document.write( "namely (1/0)does not exist<BR>\n" );
document.write( "That is division by 0 is not defined.<BR>\n" );
document.write( "Got it!<BR>\n" );
document.write( " </SPAN>\n" );
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