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      Question

      Solve the quadratic equations and determine the relation

      between x and y: Equation 1: x² - 38x + 352 = 0 Equation 2: y² - 38y + 312 = 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 - 38x + 352 = 0 Factorizing: (x - 22)(x - 16) = 0 So, x = 22 or x = 16. From Equation 2: y² - 38y + 312 = 0 Factorizing: (y - 26)(y - 12) = 0 So, y = 26 or y = 12. Comparing x and y: x = 22, y = 26, x < y x = 22, y = 12, x > y x = 16, y = 26, x < y x = 16, y = 12, x > y

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