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      Question

      If a + 1/a = -2 then the value of a1000 +

      a- 1000 is
      A 2 Correct Answer Incorrect Answer
      C 1 Correct Answer Incorrect Answer
      D 1/2 Correct Answer Incorrect Answer

      Solution

      a + 1/a = –2Β Β Β Β  let a = -1 -1 + = 1/-1+-1 = -2 ∴ a = βˆ’1 a 1000 + aβˆ’1000 = (βˆ’1) 1000 + (βˆ’1)βˆ’1000 = 1 + 1 = 2

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