If \( z=x+i y(x, y \in R, x \neq-1 / 2) \), the number of values of \( z \) satisfying \( |z|^{\...

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If \( z=x+i y(x, y \in R, x \neq-1 / 2) \), the number of values of \( z \) satisfying \( |z|^{\mathrm{n}}=z^{2}|z|^{n-2}+z|z|^{n-2}+1 \). \( (n \in N, n1) \) is
(a) 0
(b) 1
(c) 2
(d) 3
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