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AP EAMCET202023 Sep 2020Morning ShiftMathematicsComplex NumberActual

Solve: i x 2 - 3 x - 2 i = 0

Options

  1. A- i only
  2. B- 2 i only
  3. C- i and - 2 i
  4. Di only

Correct answer

C. - i and - 2 i

Step-by-step solution

Given, i x 2 - 3 x - 2 i = 0 ⇒ i x 2 + 3 i 2 x - 2 i = 0 ⇒ i x 2 + i 2 x + 2 i 2 x + 2 i 3 = 0 ⇒ i x ( x + i ) + 2 i 2 ( x + i ) = 0 ⇒ ( x + i ) ( x + 2 i ) = 0 ⇒ x = - i ,   - 2 i .

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