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For a complex number z , the product of the real parts of the roots of the equation z 2 - z = 5 - 5 i is (where, i = - 1 )

Options

  1. A- 25
  2. B- 6
  3. C- 5
  4. D25

Correct answer

B. - 6

Step-by-step solution

Equation is z 2 - z - 5 + 5 i = 0 ⇒ z = 1 ± 1 + 20 - 20 i 2 ⇒ z = 1 ± 5 - 2 i 2 2 ⇒ z = 1 ± 5 - 2 i 2 = 3 - i , - 2 + i The required value = - 6

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