document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=9384>Question 9384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x^4+(1/x^4)=731, find the value of x^2-(1/x^2).<BR>\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5102 by </B><A HREF=/tutors/aboutme.mpl?userid=askmemath><B>askmemath(368)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=askmemath><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=5102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X^4 + (1/X^4)  = (X^2 - (1/X^2))^2 + 2 \r<BR>\n" );
document.write( "\n" );
document.write( "But we know X^4 + (1/X^4) = 731  \r<BR>\n" );
document.write( "\n" );
document.write( "So  731 =  (X^2 - (1/X^2))^2 + 2 \r<BR>\n" );
document.write( "\n" );
document.write( "or  (X^2 - (1/X^2))^2 = 731 - 2 \r<BR>\n" );
document.write( "\n" );
document.write( "= (X^2 - (1/X^2))^2 = 729<BR>\n" );
document.write( " <BR>\n" );
document.write( "=  (X^2 - (1/X^2)) = 27 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );