document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042819>Question 1042819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:<BR>\n" );
document.write( "Which of the following equations have extraneous solutions?<BR>\n" );
document.write( "a)(1/(x-1))+(x/5)=(x/(x-1))<BR>\n" );
document.write( "b)(x+3)/(x+5)=(2x+8)/(x+5)<BR>\n" );
document.write( "c)x-(2/x)=-1<BR>\n" );
document.write( "d)3/(x+7)=5/(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 #657875 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=657875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which of the following equations have extraneous solutions?<BR>\n" );
document.write( "a)(1/(x-1))+(x/5)=(x/(x-1))<BR>\n" );
document.write( "Multiply thru by 5(x-1) to get:<BR>\n" );
document.write( "5 + x(x-1) = 5x<BR>\n" );
document.write( "5 + x^2 - x = 5x<BR>\n" );
document.write( "x^2 - 6x + 5 = 0<BR>\n" );
document.write( "(x-5)(x-1) = 0<BR>\n" );
document.write( "x = 1 is extraneous because x-1 is in the denominator:<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "b)(x+3)/(x+5)=(2x+8)/(x+5)<BR>\n" );
document.write( "x+3 = 2x+8<BR>\n" );
document.write( "x = -5 is extraneous because x+5 is in the denominator<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "c)x-(2/x)=-1<BR>\n" );
document.write( "x^2 - 2 = -x<BR>\n" );
document.write( "x^2 + x - 2 = 0<BR>\n" );
document.write( "(x+2)(x-1) = 0<BR>\n" );
document.write( "x = -2 or x = 1<BR>\n" );
document.write( "No extraneous zeroes<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "d)3/(x+7)=5/(x-2)<BR>\n" );
document.write( "3x-6 = 5x+35<BR>\n" );
document.write( "2x = -41<BR>\n" );
document.write( "x = -20.5<BR>\n" );
document.write( "No extraneous<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );