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      Question

      If x + 1/x = 4, then find x3 +

      1/x3.
      A 32 Correct Answer Incorrect Answer
      B 52 Correct Answer Incorrect Answer
      C 42 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      Given: x + 1/x = 4 Now, (x + 1/x)^3 = x^3 + 1/x^3 + 3(x + 1/x) So, 4^3 = x^3 + 1/x^3 + 3(4) 64 = x^3 + 1/x^3 + 12 x^3 + 1/x^3 = 64 - 12 = 52

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