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      Question

      I. 81x - 117√x + 40 = 0 II. 81y - 225√y + 136

      = 0
      A if x < y Correct Answer Incorrect Answer
      B if x > y Correct Answer Incorrect Answer
      C if x ≤ y Correct Answer Incorrect Answer
      D if x = y or the relationship cannot be established. Correct Answer Incorrect Answer
      E if x ≥ y Correct Answer Incorrect Answer

      Solution

      I. 81x - 117√x + 40 = 0 81x - 72√x - 45√x + 40 = 0 9√x (9√x - 8) -5 (9√x - 8)= 0 (9√x -5) (9√x -8) = 0 x = 25/81, 64/81 II. 81y - 225√y + 136 = 0 81y - 72√y - 153√y + 136 = 0 9√y (9√y -8) - 17 (9√y - 8) = 0 (9√y - 8) (9√y-17) = 0 y = 289/81, 64/81 Hence, x ≤ y

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