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      Question

      If [x + (1/x) ] = 6, then find the value of [x

      3 + (1/x 3) ].
      A 198 Correct Answer Incorrect Answer
      B 204 Correct Answer Incorrect Answer
      C 210 Correct Answer Incorrect Answer
      D 216 Correct Answer Incorrect Answer

      Solution

      x + (1/x) = 6 On squaring both sides, We get, [x + (1/x) ]2 = 62 Or, x2 + (1/x2) + 2 = 36 Or, x2 + (1/x2) = 34 ------- (I) Using a3 + b3 = (a + b) (a2 + b2 - ab) x3 + (1/x3) = [x + (1/x) ][x2 + (1/x2) - 1] = 6 X (34 - 1) (From equation I) = 6 X 33 = 198

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