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If iz 3 + z 2 - z + i = 0 , then | z | is equal to

Correct answer

1

Step-by-step solution

Given, iz 3 + z 2 − z + i = 0 z 3 + 1 i z 2 - z i + 1 = 0 ⇒    z 3 - iz 2 + iz + 1 = 0 ⇒    z 2 z - i + i z - i = 0 ⇒    z - i z 2 + i = 0 ⇒ z = i or z 2 = − i Hence, | z | = 1

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