document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45068>Question 45068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "x over 4 - 4 over x =0 <BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "1 over x+3 + 1 over x-3 = 1 over x^2-9<BR>\n" );
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document.write( "3.<BR>\n" );
document.write( "x over x+4 - 4 over x-4 = x^2+16 over x^2-16<BR>\n" );
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document.write( "x over x+4 - 4 over x-4 = (x+4)(x+4) over (x-4)(x+4)<BR>\n" );
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document.write( "LCD= (x+4)(x-4)<BR>\n" );
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document.write( "x over x+4 * (x-4) over (x-4) - 4 over x-4 * (x+4) over (x+4) = (x+4)(x+4) over (x-4)(x+4)  <BR>\n" );
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document.write( "x(x-4) over (x+4)(x-4) - 4(x+4) over (x+4)(x-4) = (x+4)(x+4) over (x-4)(x+4)<BR>\n" );
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document.write( "x(x-4)-4(x+4)=(x+4)(x+4)<BR>\n" );
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document.write( "A little stuck here<BR>\n" );
document.write( "x^2-4x-4x-16=x^2+8x+16<BR>\n" );
document.write( "x^2-8x-16=x^2+8x+16<BR>\n" );
document.write( "(x-4)(x-4)=(x+4)(x+4)<BR>\n" );
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document.write( "4. <BR>\n" );
document.write( "y^2-4 over y+3= 2 - y-2 over y+3<BR>\n" );
document.write( "y-2 over y+3 is one faction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29903 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=29903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x over 4 - 4 over x =0 \r<BR>\n" );
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document.write( "x/4 - 4/x = 0<BR>\n" );
document.write( "x^2-16=0<BR>\n" );
document.write( "(x-4)(x+4)=0<BR>\n" );
document.write( "x=4 or x=-4<BR>\n" );
document.write( "-----------------------------\r<BR>\n" );
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document.write( "1 over x+3 + 1 over x-3 = 1 over x^2-9\r<BR>\n" );
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document.write( "1/(x+3) +1/(x-3)=1/(x^2-9)\r<BR>\n" );
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document.write( "Multiply through by x^2-9 to get:<BR>\n" );
document.write( "x-3 + x+3 = 1<BR>\n" );
document.write( "2x=1<BR>\n" );
document.write( "x=1/2<BR>\n" );
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document.write( "x over x+4 - 4 over x-4 = x^2+16 over x^2-16\r<BR>\n" );
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document.write( "x/(x+4) - 4/(x-4) = (x^2+16)/(x^2-16)\r<BR>\n" );
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document.write( "Multiply thru by x^2-16 to get:\r<BR>\n" );
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document.write( "x(x-4) - 4(x+4) = x^2+16\r<BR>\n" );
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document.write( "x^2-8x-4 = x^2+16<BR>\n" );
document.write( "-8x-4=16<BR>\n" );
document.write( "-2x-1=4<BR>\n" );
document.write( "-2x=5<BR>\n" );
document.write( "x=-5/2<BR>\n" );
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document.write( "y^2-4 over y+3= 2 - y-2 over y+3\r<BR>\n" );
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document.write( "(y^2-4)/(y+3) = 2 - (y-2)/(y+3)\r<BR>\n" );
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document.write( "Multiply both sides by (y+3) to get:\r<BR>\n" );
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document.write( "y^2-4 = 2(y+3) -(y-2)<BR>\n" );
document.write( "y^2-4 = 2y+6-y+2<BR>\n" );
document.write( "y^2-y-12=0<BR>\n" );
document.write( "(y-4)(y+3)=0<BR>\n" );
document.write( "y=4 or y=-3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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