document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825190>Question 825190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to solve the following problems (with exact solutions):<BR>\n" );
document.write( "(2)/(x-1)+x= 5 and (2)/(x-1)+x= 2<BR>\n" );
document.write( "(This has to do with rational functions) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497225 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=497225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rational EQUATIONS more so than functions.\r<BR>\n" );
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document.write( "First equation:  Multiply left and right sides by x-1, and simplify; solve for x.  Watch for a possible extraneous solution.  You would have a quadratic equation.\r<BR>\n" );
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document.write( "Second equation:  Similar to the first equation, multiply left and right sides by x-1, giving you a quadratic equation.  Solve for x; watch for a possible extraneous solution.\r<BR>\n" );
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document.write( "The multiplication of both sides by the denominator clears the rational expressions.\r<BR>\n" );
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document.write( "Follow this generalization:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bx%28x-a%29=k%28x-a%29 ALIGN=MIDDLE  ALT=\"n%2Bx%28x-a%29=k%28x-a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bx%5E2-ax=kx-ka ALIGN=MIDDLE  ALT=\"n%2Bx%5E2-ax=kx-ka\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-ax-kx=-n-ka ALIGN=MIDDLE  ALT=\"x%5E2-ax-kx=-n-ka\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%28a%2Bk%29x=-%28n-ka%29 ALIGN=MIDDLE  ALT=\"x%5E2-%28a%2Bk%29x=-%28n-ka%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2-%28a%2Bk%29x%2Bn-ka=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2-%28a%2Bk%29x%2Bn-ka=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OR<BR>\n" );
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document.write( "Depending on the values you have for a, n, and k, you would either finish by factoring or finish by general solution to the quadratic formula. </SPAN>\n" );
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