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COMEDK2019MathematicsComplex Number

If is a complex number satisfying the equation ²+ +1=0 , then ³¹ is equal to

Options

  1. A²
  2. B1
  3. Ci

Correct answer

A. ²

Step-by-step solution

We have, ²+ +1=0 = or ² Now, if = , then . ³¹= ³¹= ( ³ )¹⁰ = )= and if = ² , then aligned & ³¹= ( ² )³¹= ⁶²= ( ³ )²⁰ ²= ²= & ³¹= aligned

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