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      Question

      I. 22x² - 97x + 105 = 0 II. 35y² - 61y + 24 =

      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 Correct Answer Incorrect Answer
      E If x = y or Relationship between x & y cannot be established Correct Answer Incorrect Answer

      Solution

      I. 22x² - 97x + 105 = 0 22x² - 55x - 42 x + 105 = 0 11 x(2 x – 5) – 21(2 x – 5) = 0 (11 x – 21) (2 x – 5) = 0 x = 21/11, 5/2 II. 35y² - 61y + 24 = 0 35y² - 40y - 21 y + 24 = 0  5 y (7 y – 8) – 3(7y – 8) = 0 (5 y – 3) (7 y – 8) = 0 y = 3/5, 8/7 Hence, x > y.

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