document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498166>Question 498166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following equations.\r<BR>\n" );
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document.write( "1. 1/(x-2)^2 + 1/(x-2) -6 =0\r<BR>\n" );
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document.write( "2. 2/(x+1) - 5/(sqrt x+1) +3 =0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336933 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=336933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the following equations. <BR>\n" );
document.write( "1. 1/(x-2)^2 + 1/(x-2) -6 =0 <BR>\n" );
document.write( "2. 2/(x+1) - 5/(sqrt x+1) +3 =0<BR>\n" );
document.write( "**<BR>\n" );
document.write( "1. 1/(x-2)^2 + 1/(x-2) -6 =0<BR>\n" );
document.write( "let u=1/(x-2)<BR>\n" );
document.write( "u^2=1/(x-2)^2<BR>\n" );
document.write( "u^2+u-6=0<BR>\n" );
document.write( "(u+3)(u-2)=0<BR>\n" );
document.write( "u=-3 or 2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "for u=-3<BR>\n" );
document.write( "-3=1/(x-2)<BR>\n" );
document.write( "-3x+6=1<BR>\n" );
document.write( "3x=5<BR>\n" );
document.write( "x=5/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "for u=2<BR>\n" );
document.write( "2=1/(x-2)<BR>\n" );
document.write( "2x-4=1<BR>\n" );
document.write( "2x=5<BR>\n" );
document.write( "x=5/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2. 2/(x+1) - 5/(sqrt x+1) +3 =0<BR>\n" );
document.write( "2/(x+1)-5/&#8730;(x+1)+3=0<BR>\n" );
document.write( "let u=1/&#8730;(x+1)<BR>\n" );
document.write( "u^2=1/(x+1)<BR>\n" );
document.write( "2u^2-5u+3=0<BR>\n" );
document.write( "(u-1)(2u-3)=0<BR>\n" );
document.write( "u=1 or 3/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For u=1<BR>\n" );
document.write( "1=1/&#8730;(x+1)<BR>\n" );
document.write( "&#8730;(x+1)=1<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "x+1=1<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "for u=3/2<BR>\n" );
document.write( "3/2=1/&#8730;(x+1)<BR>\n" );
document.write( "3&#8730;(x+1)=2<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "9(x+1)=4<BR>\n" );
document.write( "9x+9=4<BR>\n" );
document.write( "9x=-5<BR>\n" );
document.write( "x=-5/9 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );