document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110992>Question 110992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.) 3x/(x+1) + 6/2x = 7/x\r<BR>\n" );
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document.write( "2.) 6x/(x+4) + 4 = 2x+2/(x-1)\r<BR>\n" );
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document.write( "3.) 7x+1/2x+5 + 1 =10x-3/3x\r<BR>\n" );
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document.write( "4.) 10/x^2-2x + 4/x = 5/x-2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80976 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=80976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) 3x/(x+1) + 6/2x = 7/x <BR>\n" );
document.write( "x(x+1) is the LCM<BR>\n" );
document.write( "Multiply thru by the LCM:<BR>\n" );
document.write( "3x^2 + 3(x+1) = 7(x+1)<BR>\n" );
document.write( "3x^2 + 3x+3 = 7x+7<BR>\n" );
document.write( "3x^2-4x-3=0<BR>\n" );
document.write( "x = [4 +- sqrt(16-4*3*-3)]/6<BR>\n" );
document.write( "x = [4 +- sqrt(52)]/6<BR>\n" );
document.write( "x = [4 +- 2sqrt(13)]/6<BR>\n" );
document.write( "x = [2 +- sqrt(13)]/3<BR>\n" );
document.write( "x = (2 + sqrt(13))/3 or x = (2 - sqrt(13))/3<BR>\n" );
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document.write( "2.) 6x/(x+4) + 4 = (2x+2)/(x-1)<BR>\n" );
document.write( "Multiply thru by (x+4)(x-1) to get:<BR>\n" );
document.write( "6x(x-1) + 4(x+4)(x-1) = 2(x+1)(x+4)<BR>\n" );
document.write( "6x^2-6x + 4x^2+12x-16 = 2x^2+10x+8<BR>\n" );
document.write( "8x^2 -4x -24 = 0<BR>\n" );
document.write( "4(2x^2 -x -12) = 0<BR>\n" );
document.write( "2x^2 - x -12 = 0<BR>\n" );
document.write( "x = [1 +- sqrt(1 -4*2*-12)]/4<BR>\n" );
document.write( "x = [1 +- sqrt(97)]/4<BR>\n" );
document.write( "x = (1+ sqrt(97))/4 or x = (1-sqrt(97))/4<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "3.) 7x+1/2x+5 + 1 =10x-3/3x <BR>\n" );
document.write( "4.) 10/x^2-2x + 4/x = 5/x-2\r<BR>\n" );
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