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      Question

      Solve the quadratic equations and determine the relation

      between x and y: Equation 1: x² - 40x + 300 = 0 Equation 2: y² - 30y + 216 = 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 - 40x + 300 = 0 Factorizing: (x - 10)(x - 30) = 0 So, x = 10 or x = 30. From Equation 2: y² - 30y + 216 = 0 Factorizing: (y - 12)(y - 18) = 0 So, y = 12 or y = 18. Comparing x and y: x = 10, y = 12, x < y x = 10, y = 18, x < y x = 30, y = 12, x > y x = 30, y = 18, x > y Correct option: E) x = y or no relation

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