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AP EAMCET20224 Jul 2022Morning ShiftMathematicsComplex NumberActual

If i z 3 + z 2 - z + i = 0 (where z is a complex number), then the value of z is

Options

  1. A0
  2. B1 2
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

i z 3 + z 2 - z + i = 0   ⇒   i z 2 z - i - z - i = 0 ⇒     z - i   i z 2 - 1 = 0 Either z = i ⇒   z = 1 or ⇒     i z 2 = 1                                       . . . . ( 1 ) ⇒   - i   z ¯ 2 = 1                               . . . . ( 2 ) Multiplying equation ( 1

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