SOLUTION: If x>1 and x+(1/x) = 2*(1/12) then x^4 - (1/x^4) ANS: 58975/20736.

Algebra ->  Square-cubic-other-roots -> SOLUTION: If x>1 and x+(1/x) = 2*(1/12) then x^4 - (1/x^4) ANS: 58975/20736.       Log On


   

Question 1042907: If x>1 and x+(1/x) = 2*(1/12) then x^4 - (1/x^4)
ANS: 58975/20736.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
If x>1 and x+(1/x) = 2*(1/12) then x^4 - (1/x^4)
ANS: 58975/20736.
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Hello,

For positive x, x + (1/x) is always >= 2 (see the plot below).
It is well known fact.

Therefore, the equality x + 1/x = 2*(1/12), which is given in your condition, is wrong.

It can not ever be so for real x.

Therefore, your condition is wrong.

Please be responsible when sending your posts for our consideration..

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

Figure. Plot f(x) = x+%2B+1%2Fx