document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711991>Question 711991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help on solving extraneous equations. \r<BR>\n" );
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document.write( "(square root)3x=(squareroot)x+6\r<BR>\n" );
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document.write( "(squareroot)3x+2-(SR)2x+7=0\r<BR>\n" );
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document.write( "(SR)2x+6-(SR)x-1=2\r<BR>\n" );
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document.write( "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 #437763 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=437763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are a few problems with what you posted:<ul><li><i>Every</i> equation you posted is ambiguous. None of them make clear what is inside the square root. For example, the first equation could be any of the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29x=sqrt%28x%29%2B6 ALIGN=MIDDLE  ALT=\"sqrt%283%29x=sqrt%28x%29%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29=sqrt%28x%29%2B6 ALIGN=MIDDLE  ALT=\"sqrt%283x%29=sqrt%28x%29%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29x=sqrt%28x%2B6%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29x=sqrt%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%29=sqrt%28x%2B6%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%29=sqrt%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You have parentheses around the words \"square root\". Putting parentheses around the radicand (the expression within a radical is called a radicand) is much more important.</li><li>I don't think \"extraneous equations\" is a meaningful phrase. Solving square root equations like these can result in what are called \"extraneous solutions\".</li></ul>Please re-post your question using parentheses to make the equations unambiguous. </SPAN>\n" );
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