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If x^2-2x+1=0 then find (i) x^3+1/x^3 ...

If `x^2-2x+1=0` then find `(i) x^3+1/x^3 (ii) x^4+1/x^4 (iii) x^2-1/x^2 (iv) x^2+1/x^2`

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