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      Question

      Solve the quadratic equations and determine the relation

      between x and y: Equation 1: 21x² - 82x + 80 = 0 Equation 2: 23y² - 132y + 85 = 0
      A x > y Correct Answer Incorrect Answer
      B x ≥ y Correct Answer Incorrect Answer
      C x < y Correct Answer Incorrect Answer
      D x ≤ y Correct Answer Incorrect Answer
      E x = y or no relation Correct Answer Incorrect Answer

      Solution

      From Equation 1: 21x² - 82x + 80 = 0 Factorizing: (21x - 40)(x - 2) = 0 So, x = 40/21 or x = 2. From Equation 2: 23y² - 132y + 85 = 0 Factorizing: (23y - 17)(y - 5) = 0 So, y = 17/23 or y = 5. Comparing x and y: x = 2, y = 5, x < y x = 2, y = 17/23, x > y Correct option: E) x = y or no relation

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