document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493669>Question 493669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 18.)  <BR>\n" );
document.write( "        Find the real solution of the equation:<BR>\n" );
document.write( "                  (sqrt)24 - 2x = x<BR>\n" );
document.write( "         a. The solution set is______________.   Or<BR>\n" );
document.write( "         b. There is no solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335419 by </B><A HREF=/tutors/aboutme.mpl?userid=MRperkins><B>MRperkins(300)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MRperkins><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=MRperkins><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=335419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify sqrt(24) to 2*sqrt(6)<BR>\n" );
document.write( "move -2x to the right side and get<BR>\n" );
document.write( "2*sqrt(6)=3x<BR>\n" );
document.write( "divide both sides by 3 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Asqrt%286%29%29%2F3=x ALIGN=MIDDLE  ALT=\"%282%2Asqrt%286%29%29%2F3=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can also write this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%2824%29%2F3 ALIGN=MIDDLE  ALT=\"x=sqrt%2824%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This was originally written wrong.  The original problem should have been:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2824-2x%29=x ALIGN=MIDDLE  ALT=\"sqrt%2824-2x%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "square each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24-2x=x%5E2 ALIGN=MIDDLE  ALT=\"24-2x=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24-2x=-x%5E2 ALIGN=MIDDLE  ALT=\"24-2x=-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=-6, x=4<BR>\n" );
document.write( "check solutions in original equation.  x=-6 does not work.  x=4 works<BR>\n" );
document.write( "so the only real solution is x=4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );