document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97422>Question 97422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sqrt(2x+3)-sqrt(x+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 #70896 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=70896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(2x+3)=sqrt(x+1)+1<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "2x+3 = (x+1)+2sqrt(x+1) +1<BR>\n" );
document.write( "2x+3 = x+2 + 2sqrt(x+1)<BR>\n" );
document.write( "x+1 = 2sqrt(x+1)<BR>\n" );
document.write( "Square again to gt:<BR>\n" );
document.write( "x^2+2x+1 = 4(x+1)<BR>\n" );
document.write( "x^2-2x-3=0<BR>\n" );
document.write( "(x-3)(x+1)=0<BR>\n" );
document.write( "x=3 or x=-1<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Checking answers in sqrt(2x+3)=sqrt(x+1)+1<BR>\n" );
document.write( "If x=3: sqrt(9) = sqrt(4)+1<BR>\n" );
document.write( "3 = 2+1<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "If x=-1: sqrt(1) = sqrt(0)+1<BR>\n" );
document.write( "1=1<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Both values of x are valid.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );