If alpha is root of equation f(x)=0 then...

If `alpha` is root of equation `f(x)=0` then the value of `(alpha+ 1/alpha)^2+(alpha^2+ 1/alpha^2)^2+(alpha^3+1/alpha^3)+………+(alpha^6+ 1/alpha^6)^2` is (A) 18 (B) 54 (C) 6 (D) 12

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