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      Question

      If [x + (1/x) ] = 3, then find the value of [x

      3 + (1/x 3) ].
      A 18 Correct Answer Incorrect Answer
      B 21 Correct Answer Incorrect Answer
      C 24 Correct Answer Incorrect Answer
      D 27 Correct Answer Incorrect Answer

      Solution

      x + (1/x) = 3 On squaring both sides, We get, [x + (1/x) ]2 = 32 Or, x2 + (1/x2) + 2 = 9 Or, x2 + (1/x2) = 7 ------- (I) Using a3 + b3 = (a + b) (a2 + b2 - ab) x3 + (1/x3) = [x + (1/x) ][x2 + (1/x2) - 1] = 3 X (7 - 1) (From equation I) = 3 X 6 = 18

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