We need the absolute value of x given that i(z-1) = -2
i(z-1) = -2
=> z - 1 = -2/i
=> z = -2/i + 1
=> z = -2*i/i^2 + 1
=> z = -2i / -1 + 1
=> z = 1 + 2i
The absolute value of z is sqrt (1^2 + 2^2) = sqrt (1 + 4) = sqrt 5.
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