document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102403>Question 102403</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618317821/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2 times sq. root of x minus sq. root of 2x+1=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74406 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2sqrt(x)-sqrt(2x+1)=1<BR>\n" );
document.write( "2sqrt(x)-1=sqrt(2x+1)<BR>\n" );
document.write( "4x-4sqrt(x)+1=2x+1 square both sides<BR>\n" );
document.write( "-4sqrt(x)=-2x subtract 4x+1 from each side.<BR>\n" );
document.write( "16x=4x^2 square both sides<BR>\n" );
document.write( "4x^2-16x=0 subtract 16x from each side.<BR>\n" );
document.write( "4x(x-4)=0 factor<BR>\n" );
document.write( "x=0, x=4<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "2sqrt(0)-sqrt(0+1)=1...-1=1 false so x=0 is not an answer.<BR>\n" );
document.write( "2sqrt(4)-sqrt(2*4+1)=1...2*2-3=1 true so x=4 is the only answer.<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );