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If z is any complex number and i z^3+z^2-z+i=0 , where i= -1 , then what is the value of (|z|+1)^2 ?

Options

  1. A1
  2. B4
  3. C81
  4. D121

Correct answer

B. 4

Step-by-step solution

aligned & i z^3+z^2-z+i=0 & put z=i & i^4+i^2-i+i=0 & 1-1-i+i=0 aligned Hence, [|z|+1]^2=[|i|+1]^2=2^2=4

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