SOLUTION: if x^8+1/x^8=2207 find x+1/x

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Question 340300: if x^8+1/x^8=2207
find x+1/x
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x^8+1/x^8=2207
..
(x^4+1/x^4)^2-2 =2207
..
(x^2+1/x^2)^2-2-2=2207
(x+1/x)^2 -2-2-2=2207
(x+1/x)^2= 2213
sqrt(x +1/x)^2= sqrt2213
(x + 1/x ) = 47.04