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AP EAMCET201921 Apr 2019Morning ShiftMathematicsComplex NumberActual

The equation whose solutions are the non-zero solutions of the equation z =i z^2 , is

Options

  1. Az^3+i=0
  2. Bz^3+z+1=0
  3. Cz^3-i=0
  4. Dz^3+i z+1=0

Correct answer

A. z^3+i=0

Step-by-step solution

array lccl & z =i z^2 & & & z=-i z ^2 & & z=-i [i z^2 ]^2 & z=-i i^2 z^4 & & z=i z^4 & z^4= 1 i z & & z^4=-i z & z^4+i z=0 & & z z (z^3+i )=0 & z^3+i=0 & & ( z 0) array

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