document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180216>Question 180216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all x for which  x^3-x^2-x+1 /x^3-x^2+x-1 = 0.  Please can someone help me?  I'm not even sure if this problem belongs in this section, let alone, how to do it.  Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135134 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=135134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all x for which  x^3-x^2-x+1 /x^3-x^2+x-1 = 0.<BR>\n" );
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document.write( "Multiply both sides by the denominator to get:\r<BR>\n" );
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document.write( "x^3-x^2-x+1 = 0\r<BR>\n" );
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document.write( "Factor to get:<BR>\n" );
document.write( "(x^2)(x-1) - (x-1) = 0\r<BR>\n" );
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document.write( "Factor again:\r<BR>\n" );
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document.write( "(x-1)(x^2-1) = 0\r<BR>\n" );
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document.write( "Factor again:<BR>\n" );
document.write( "(x-1)(x-1)(x+1) = 0\r<BR>\n" );
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document.write( "Solutions: x = 1, or x = -1 <BR>\n" );
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document.write( "But x=1 is extraneous as it makes the original denominator = 0<BR>\n" );
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document.write( "Only solution: x = -1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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