document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248595>Question 248595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve 2x/x-3 + x/x-8 = 3/x^2-11x+24?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181152 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=181152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you solve 2x/x-3 + x/x-8 = 3/x^2-11x+24<BR>\n" );
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document.write( "Since (x-3)(x-8) = x^2-11x+24,<BR>\n" );
document.write( "Multiply  thru the equation by x^2-11x+24 to get:<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2x(x-8) + x(x-3) = 3<BR>\n" );
document.write( "2x^2-16x + x^2-3x = 3<BR>\n" );
document.write( "3x^2 -19x -3 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [19 +- sqrt(361 - 4*3*-3)]/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [19 +- sqrt(388)]/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [19 +- sqrt(4*97)]/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [19 +- 2sqrt(97)]/6<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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