document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146182>Question 146182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need a little help with the following.\r<BR>\n" );
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document.write( "Square root of 3x+1 - square root of x+1 = 2.  I have tried solving this by isoloating the x+1 square root term, but keep getting a no solution answer, which is not correct.  If someone could provide me the steps on how to get the correct answer, so I can learn the steps myself, that would be much appreciated.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106739 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=106739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sqrt(3x+1) - sqrt(x+1) = 2.<BR>\n" );
document.write( "sqrt(3x+1) = 2 + sqrt(x+1)<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "3x+1 = 4 + 4sqrt(x+1) + x+1<BR>\n" );
document.write( "2x = 4 + 4sqrt(x+1)<BR>\n" );
document.write( "x-2 = 2sqrt(x+1)<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "x^2 -4x+4 = 4x+4<BR>\n" );
document.write( "x^2-8x = 0<BR>\n" );
document.write( "x(x-8) = 0<BR>\n" );
document.write( "x = 0 or x = 8 <BR>\n" );
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document.write( "Checking:<BR>\n" );
document.write( "x=0?<BR>\n" );
document.write( "sqrt(1) - sqrt(1) = 2; Wrong   <BR>\n" );
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document.write( "x=8?<BR>\n" );
document.write( "sqrt(25) - sqrt(9) = 2<BR>\n" );
document.write( "5-3=2 ; Correct<BR>\n" );
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document.write( "Final Solution: x=8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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