document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42698>Question 42698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> state whether each of the following is true or false for all real numbers x<BR>\n" );
document.write( "a)<BR>\n" );
document.write( "sq rt x^2 = x<BR>\n" );
document.write( "b)<BR>\n" );
document.write( "sq rt x^2 + 9 = x+3<BR>\n" );
document.write( "c)<BR>\n" );
document.write( "2x+y/4=x+y/2<BR>\n" );
document.write( "d)<BR>\n" );
document.write( "sq rt 1-x= -sq rt x-1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27815 by </B><A HREF=/tutors/aboutme.mpl?userid=rajagopalan><B>rajagopalan(174)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rajagopalan><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=rajagopalan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)sq rt x^2 = x .. True. you have another answer also in -x.<BR>\n" );
document.write( "b)sq rt x^2 + 9 = x+3.. False ..when RHs is squared we get x^2+9+2x ..OK<BR>\n" );
document.write( "c)2x+y/4=x+y/2 True ..both sides are didvided by 2 <BR>\n" );
document.write( "d)sq rt 1-x= -sq rt x-1 False <BR>\n" );
document.write( "since<BR>\n" );
document.write( "sqrt(1-x)=sqrt(-1)*(x-1)=-i*sqrt(x-1)an imaginary number<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );