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If $i z^{3} + z^{2} - z + i = 0$ , then

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Re⁡z=0

Im⁡z=0

|z|=1

none of these

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detailed solution

Correct option is C

iz3+z2−z+i=0⇒iz3−i2z2−(z−i)=0⇒iz2(z−i)−(z−i)=0⇒iz2−1(z−i)=0⇒ z2=1/i or z=iIn any case |z| = 1

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If iz3+z2−z+i=0 , then

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If $i z^{3} + z^{2} - z + i = 0$ , then