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17 January, 07:11

Which equation has the solutions x = (-3+or - - / 3i) / 2?

A. 2x2 + 6x + 9 = 0

B. x2 + 3x + 12 = 0

C. x2 + 3x + 3 = 0

D. 2x2 + 6x + 3 = 0

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Answers (1)
  1. 17 January, 07:39
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    (x - (-3 + 3i) / 2) (x - (-3 - 3i) / 2) = 0

    (x + (3 - 3i) / 2) (x + (3 + 3i) / 2) = 0

    (2x + 3 - 3i) (2x + 3 + 3i) = 0

    4x^2 + 6x + 6ix + 6x + 9 + 9i - 6ix - 9i + 9 = 0

    4x^2 + 12x + 18 = 0

    2x^2 + 6x + 9 = 0

    Option A is the correct answer.
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