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      Question

      Solve the quadratic equations and determine the relation

      between x and y: Equation 1: x² - 20x + 96 = 0 Equation 2: y² - 18y + 72 = 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: x² - 20x + 96 = 0 Factorizing:  (x - 12)(x - 8) = 0 So, x = 12 or x = 8. From Equation 2: y² - 18y + 72 = 0 Factorizing: (y - 12)(y - 6) = 0 So, y = 12 or y = 6. Comparing x and y: x = 12, y = 12 → x = y x = 12, y = 6 → x > y x = 8, y = 12 → x < y x = 8, y = 6 → x > y Correct option: E) x = y or no relation

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