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      Question

      Equation 1: x² - 144x + 5184 = 0 Equation 2: y²

      - 130y + 4225 = 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 - 144x + 5184 = 0 Factorizing:  (x - 72)(x - 72) = 0 So, x = 72 (repeated root). From Equation 2: y² - 130y + 4225 = 0 Factorizing:  (y - 65)(y - 65) = 0 So, y = 65 (repeated root). Comparing x and y: x = 72, y = 65 → x > y Correct option: A) x > y

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