document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291677>Question 291677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain why the correct solution to the equation square root of x + 2 = x - 4 (which can be typed as sqrt(x + 2) = x – 4 ) is just 7. That is, explain what happens as you solve this equation and why you end up with the only solution x = 7.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210862 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  sqrt(x + 2) = x – 4 ) <BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "x+2=(x-4)^2\r<BR>\n" );
document.write( "\n" );
document.write( "x+2=(x-4)^2<BR>\n" );
document.write( "x+2=(x-4)*(x-4)<BR>\n" );
document.write( "x+2=x^2-8x+16<BR>\n" );
document.write( "0=x^2-9x+14<BR>\n" );
document.write( "(x-7)* (x-2)=0<BR>\n" );
document.write( "x=7 x=2<BR>\n" );
document.write( "now why does 2 work<BR>\n" );
document.write( "plug it back in the original.<BR>\n" );
document.write( "sqrt(4)=0<BR>\n" );
document.write( "2=0<BR>\n" );
document.write( "But 2 doesn't equal 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sqrt(7+2)=7-4<BR>\n" );
document.write( "3=3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );