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KCET2008MathematicsComplex 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

Given equation is aligned ²+ +1 &=0 &= -1 1-4 2 = -1 3 i 2 aligned Let it be = , ² (1) If = , then ³¹=( )³¹= = (2) If = ² , then ³¹= ( ² )³¹= ⁶²= ²= Hence, ³¹ is equal to .

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