MathematicsThe solution of x for which the following quadratic equation holds 6×2-17ix-12=0 are

The solution of x for which the following quadratic equation holds


 6x2-17ix-12=0 are


  1. A
    4i3 and 3i2
  2. B
    4i3 and 3i2
  3. C
    3i4 and 2i3
  4. D
    3i4 and - 3i2 

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    Solution:

    6x2-17ix-12=0 6x29ix-8ix-12=0 3x(2x – 3i) – 4(2ix + 3) = 0
    3x(2x – 3i) – 4( 2ix - 3i2)=0    (since, i2= -1)
    3x(2x – 3i) – 4i(2x - 3i) = 0
    (3x – 4i) (2x – 3i) = 0
    3x – 4i = 0 and 2x – 3i = 0
    x = 4i3 and x = 3i2, which are the required solutions
     
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