document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703976>Question 703976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sole & check for extraneous solutions. <BR>\n" );
document.write( "X^1/2-(x-5)^1/2=2 <BR>\n" );
document.write( "some how the answer is 81/16 but i dont know how to solve it  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853913 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13326)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29-sqrt%28x-5%29=2 ALIGN=MIDDLE  ALT=\"sqrt%28x%29-sqrt%28x-5%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Move the second square root to the right side of the equation so that there is only one square root expression on each side of the equation, then square both sides of the equation.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29=2%2Bsqrt%28x-5%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29=2%2Bsqrt%28x-5%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=2%2B%28x-5%29%2B4sqrt%28x-5%29 ALIGN=MIDDLE  ALT=\"x=2%2B%28x-5%29%2B4sqrt%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=4sqrt%28x-5%29 ALIGN=MIDDLE  ALT=\"1=4sqrt%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Square both sides again to get rid of the last square root expression.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=16%28x-5%29 ALIGN=MIDDLE  ALT=\"1=16%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=16x-80 ALIGN=MIDDLE  ALT=\"1=16x-80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81=16x ALIGN=MIDDLE  ALT=\"81=16x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=81%2F16 ALIGN=MIDDLE  ALT=\"x=81%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The potential solution is x = 81/16; but we have squared both sides of the original equation, so any solutions we found might be extraneous. Check to see if the solution satisfies the original equation.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2881%2F16%29-sqrt%2881%2F16-5%29=2 ALIGN=MIDDLE  ALT=\"sqrt%2881%2F16%29-sqrt%2881%2F16-5%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%2881%2F16%29-sqrt%281%2F16%29=2 ALIGN=MIDDLE  ALT=\"sqrt%2881%2F16%29-sqrt%281%2F16%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=9%2F4-1%2F4=2 ALIGN=MIDDLE  ALT=\"9%2F4-1%2F4=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=2 ALIGN=MIDDLE  ALT=\"2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The solution is not extraneous.<br><BR>\n" );
document.write( "ANSWER: 81/16<br><BR>\n" );
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