document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042907>Question 1042907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x>1 and  x+(1/x) = 2*(1/12) then x^4 - (1/x^4)\r<BR>\n" );
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document.write( "ANS:  58975/20736.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657959 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "If x>1 and  x+(1/x) = 2*(1/12) then x^4 - (1/x^4)\r<BR>\n" );
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document.write( "ANS:  58975/20736. <BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "Hello,\r<BR>\n" );
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document.write( "For positive x, x + (1/x) is always >= 2 (see the plot below).<BR>\n" );
document.write( "It is well known fact.\r<BR>\n" );
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document.write( "Therefore, the equality x + 1/x = 2*(1/12), which is given in your condition, is wrong.\r<BR>\n" );
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document.write( "It can not ever be so for real x.\r<BR>\n" );
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document.write( "Therefore, your condition is wrong.\r<BR>\n" );
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document.write( "Please be responsible when sending your posts for our consideration..\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+330%2C+330%2C+-5.5%2C+5.5%2C+-5.5%2C+5.5%2C%0D%0A++++++++++x+%2B+1%2Fx%0D%0A%29 ALIGN=MIDDLE  ALT=\"graph%28+330%2C+330%2C+-5.5%2C+5.5%2C+-5.5%2C+5.5%2C%0D%0A++++++++++x+%2B+1%2Fx%0D%0A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<B>Figure</B>. Plot f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+1%2Fx ALIGN=MIDDLE  ALT=\"x+%2B+1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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