document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101464>Question 101464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with a problem but cant type square root on my keyboard but I'll do my best, Here goes (X+1)^1/2+(2X)^1/2=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73867 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=73867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(x+1)+sqrt(2x)=1<BR>\n" );
document.write( "(sqrt(2x)-1)^2=(-sqrt(x+1))^2<BR>\n" );
document.write( "2x-2sqrt(2x)+1=x+1<BR>\n" );
document.write( "x=2sqrt(2x)<BR>\n" );
document.write( "x^2=4*2x square both sides<BR>\n" );
document.write( "x^2=8x<BR>\n" );
document.write( "x^2-8x=0<BR>\n" );
document.write( "x(x-8)=0 factor<BR>\n" );
document.write( "x=0, x=8<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "sqrt(0+1)+sqrt(2*0)=1 true<BR>\n" );
document.write( "sqrt(8+1)+sqrt(2*8)=1 false<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x=0 is the only answer.<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );