document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54534>Question 54534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8730;(6x+1)= x-1 Solve.\r<BR>\n" );
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document.write( "I got 6x+1=x^2-2x+1<BR>\n" );
document.write( "Subtracted 6x and 1 and got 0=x^2-8x+0<BR>\n" );
document.write( "x(x-8)<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "What did I do wrong?\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36786 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=36786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> &#8730;(6x+1)= x-1 Solve. <BR>\n" );
document.write( "I got 6x+1=x^2-2x+1<BR>\n" );
document.write( "Subtracted 6x and 1 and got 0=x^2-8x+0<BR>\n" );
document.write( "x(x-8)<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "Now you have to check these answers to see if one<BR>\n" );
document.write( "or both are extraneous.<BR>\n" );
document.write( "Checking x=0 in the original problem you get:<BR>\n" );
document.write( "sqrt(1)=-1. So x=0 is extraneous.<BR>\n" );
document.write( "Checking x=8 in the original problem you get:<BR>\n" );
document.write( "sqrt(49)=8-1=7<BR>\n" );
document.write( "That is a good result.  x=8 is your solution.<BR>\n" );
document.write( "You might ask why you got an extraneous answer.<BR>\n" );
document.write( "It happened when you squared both sides of the<BR>\n" );
document.write( "equation.  When you did that you introduced a <BR>\n" );
document.write( "root that was not part of the original equation.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );