document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940240>Question 940240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x, show work.\r<BR>\n" );
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document.write( "1/x^2-7x+10 = x/x-5+1/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 #573027 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=573027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x^2-7x+10 = x/x-5+1/x-2<BR>\n" );
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document.write( "Multiply thru by (x-5)(x-2) to get:<BR>\n" );
document.write( "1 = x(x-2) + (x-5)<BR>\n" );
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document.write( "x^2 -2x + x -5 - 1 = 0<BR>\n" );
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document.write( "x^2 -x -6 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
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document.write( "x = 3 or x = -2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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