Let z be a complex number satisfying 1/2≤|z| ≤ 4, then sum of greatest and least values of |z+1/z...

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z is a complex number satisfying `z^(4)+z^(3)+2z^(2)+z+1=0`, then `|z|` is equal to z is a complex number satisfying `z^(4)+z^(3)+2z^(2)+z+1=0`, then `|z|` is equal to
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