document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205310>Question 205310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me solve the problem? It's solving radical equations.<BR>\n" );
document.write( "2x + square root (x+1) =8 \r<BR>\n" );
document.write( "\n" );
document.write( "The only thing in the square root is x + 1. I wasn't sure what sign to use on the keyboard for that.  <BR>\n" );
document.write( "I know the answer is 3, but I don't understand how to get it. I know you have to square both sides. Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154982 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=154982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x + square root (x+1) =8 <BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Isolate the square root term:<BR>\n" );
document.write( "sqrt(x+1) = 8-2x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "x+1 = 64 -32x + 4x^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "4x^2 -33x +63 = 0<BR>\n" );
document.write( "(x-3)(4x-21) = 0<BR>\n" );
document.write( "x = 3 or x = 21/4<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Checking those \"answers\":<BR>\n" );
document.write( "Try x = 3 in 2x + sqrt (x+1) =8 and you get: 6 + sqrt(4) = 8<BR>\n" );
document.write( "6 + 2 = 8<BR>\n" );
document.write( "Good answer.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Try x = 21/4 in 2x + sqrt(x+1) =8 and you get<BR>\n" );
document.write( "(21/2) + sqrt(25/4) = 8<BR>\n" );
document.write( "(21/2) + 5/2 = 8<BR>\n" );
document.write( "13 = 8<BR>\n" );
document.write( "That is false so x=21/4 is an extraneous answer.<BR>\n" );
document.write( "====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );