document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214026>Question 214026</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321296443/algebrahomeworkh>College algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">  solve the equation: square root of 3q+1 - the square root of q-1 =2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854649 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53937)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "This question is from textbook College algebra<BR>\n" );
document.write( "solve the equation: square root of 3q+1 - the square root of q-1 =2<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution in the post by @HyperBrain has an error, which leads to wrong answer.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;His answer is q = 1 or q=3, but q=3 does not satisfy the given equation.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283q%2B1%29+-+sqrt%28q-1%29+=+2 ALIGN=MIDDLE  ALT=\"sqrt%283q%2B1%29+-+sqrt%28q-1%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283q%2B1%29=+2%2Bsqrt%28q-1%29 ALIGN=MIDDLE  ALT=\"sqrt%283q%2B1%29=+2%2Bsqrt%28q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3q%2B1+=+4%2B%28q-1%29%2B4sqrt%28q-1%29 ALIGN=MIDDLE  ALT=\"3q%2B1+=+4%2B%28q-1%29%2B4sqrt%28q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3q%2B1+=+q%2B3%2B4sqrt%28q-1%29 ALIGN=MIDDLE  ALT=\"3q%2B1+=+q%2B3%2B4sqrt%28q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2q-2+=+4sqrt%28q-1%29 ALIGN=MIDDLE  ALT=\"2q-2+=+4sqrt%28q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q-1+=+2sqrt%28q-1%29 ALIGN=MIDDLE  ALT=\"q-1+=+2sqrt%28q-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let x=q-1<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x+=+2sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+4x ALIGN=MIDDLE  ALT=\"x%5E2+=+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<<<---===  this is the place where @HyperBrain made his error. &nbsp;&nbsp;&nbsp;&nbsp;I fixed it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-4%29=0 ALIGN=MIDDLE  ALT=\"x%28x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=0 or x=4<BR>\n" );
document.write( "If x=0, q-1=0 so q=1<BR>\n" );
document.write( "If x=4, q-1=4 so q=5.\r<BR>\n" );
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document.write( "So, q=<u>1 or 5</u>\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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