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If x+1/x=2 then the value of x^2014+1/x^2016

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x^2 + 1 = 2 x

x^2 -2x + 1 = 0

(x-1)(x-1) = 0
so
x = 1
x^anything = 1
and 1 + 1/1 = 2

Hey, Bob Pursley answered this hours ago.

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