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      Question

      Solve the quadratic equations and determine the relation

      between x and y: Equation 1: x² - 21x + 110 = 0 Equation 2: y² - 23y + 132 = 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 - 21x + 110 = 0 Factorizing: (x - 10)(x - 11) = 0 So, x = 10 or x = 11. From Equation 2: y² - 23y + 132 = 0 Factorizing: (y - 11)(y - 12) = 0 So, y = 11 or y = 12. Comparing x and y: x = 10, y = 11 → x < y x = 10, y = 12 → x < y x = 11, y = 11 → x = y x = 11, y = 12 → x < y

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