document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73641>Question 73641</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492594/algebrahomeworkh>introduction and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> solve the radical equation<BR>\n" );
document.write( "[sq.rt.of(x-4)] + [sq.rt.of(x+4)] = 4<BR>\n" );
document.write( "[sq.rt.of(x-4)] = 4 - [sq.rt.of(x+4)]<BR>\n" );
document.write( "[sq.rt.of(x-4)]^2 = {4 - [sq.rt.of(x+4)]}^2<BR>\n" );
document.write( "(x-4) = 16 - 8[sq.rt.of(x+4)] + (x+4)<BR>\n" );
document.write( "x-4 - (x+4) - 16 = -8[sq.rt.of(x+4)]<BR>\n" );
document.write( "-24 = -8[sq.rt.of(x+4)]<BR>\n" );
document.write( "3 = [sq.rt.of(x+4)] <BR>\n" );
document.write( "3^2 = [sq.rt.of(x+4)]^2<BR>\n" );
document.write( "9 = x+4<BR>\n" );
document.write( "x = 5\r<BR>\n" );
document.write( "\n" );
document.write( "check by substituting X=5 in the given problem\r<BR>\n" );
document.write( "\n" );
document.write( "[sq.rt.of(x-4)] + [sq.rt.of(x+4)] is it = 4<BR>\n" );
document.write( "[sq.rt.of(5-4)] + [sq.rt.of(5+4)] is it = 4<BR>\n" );
document.write( "[sq.rt.of(1)] + [sq.rt.of(9)] is it = 4<BR>\n" );
document.write( "1+3 is it = 4<BR>\n" );
document.write( "4=4; then the solution set is {5} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52666 by </B><A HREF=/tutors/aboutme.mpl?userid=srhjnqcbng11><B>srhjnqcbng11(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srhjnqcbng11><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=52666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the radical equation<BR>\n" );
document.write( "[sq.rt.of(x-4)] + [sq.rt.of(x+4)] = 4\r<BR>\n" );
document.write( "\n" );
document.write( "start by moving one of the radical to the other side of the equation<BR>\n" );
document.write( "[sq.rt.of(x-4)] = 4 - [sq.rt.of(x+4)]\r<BR>\n" );
document.write( "\n" );
document.write( "next square both side of the equation<BR>\n" );
document.write( "[sq.rt.of(x-4)]^2 = {4 - [sq.rt.of(x+4)]}^2<BR>\n" );
document.write( "(x-4) = 16 - 8[sq.rt.of(x+4)] + (x+4)\r<BR>\n" );
document.write( "\n" );
document.write( "then isolate the radical on one sides of hte equatiomn<BR>\n" );
document.write( "x-4 - (x+4) - 16 = -8[sq.rt.of(x+4)]<BR>\n" );
document.write( "-24 = -8[sq.rt.of(x+4)]\r<BR>\n" );
document.write( "\n" );
document.write( "simplify the equation  by dividinq both sides by  -8<BR>\n" );
document.write( "3 = [sq.rt.of(x+4)] \r<BR>\n" );
document.write( "\n" );
document.write( "then square both sides of the equation<BR>\n" );
document.write( "3^2 = [sq.rt.of(x+4)]^2<BR>\n" );
document.write( "9 = x+4<BR>\n" );
document.write( "x = 5\r<BR>\n" );
document.write( "\n" );
document.write( "check by substituting X=5 in the given problem\r<BR>\n" );
document.write( "\n" );
document.write( "[sq.rt.of(x-4)] + [sq.rt.of(x+4)] is it = 4<BR>\n" );
document.write( "[sq.rt.of(5-4)] + [sq.rt.of(5+4)] is it = 4<BR>\n" );
document.write( "[sq.rt.of(1)] + [sq.rt.of(9)] is it = 4<BR>\n" );
document.write( "1+3 is it = 4<BR>\n" );
document.write( "4=4<BR>\n" );
document.write( "therefore the solution set is {5}<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );