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      Question

      Solve the quadratic equations and determine the relation

      between x and y: Equation 1: x² - 32x + 252 = 0 Equation 2: y² - 30y + 221 = 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 - 32x + 252 = 0 Factorizing: (x - 14)(x - 18) = 0 So, x = 14 or x = 18. From Equation 2: y² - 30y + 221 = 0 Factorizing: (y - 13)(y - 17) = 0 So, y = 13 or y = 17. Comparing x and y: x = 14, y = 13 → x > y x = 14, y = 17 → x < y x = 18, y = 13 → x > y x = 18, y = 17 → x > y

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