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      Question

      Solve the quadratic equations and determine the relation

      between x and y:  Equation 1: x² + 2x - 15 = 0 Equation 2: y² - 4y - 12 = 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 No relation Correct Answer Incorrect Answer

      Solution

      From equation 1: x² + 2x - 15 = 0 Factorizing: (x + 5)(x - 3) = 0 So, x = -5 or x = 3. From equation 2: y² - 4y - 12 = 0 Factorizing: (y - 6)(y + 2) = 0 So, y = 6 or y = -2. Comparing x and y: • If x = 3 and y = -2, x > y. • If x = -5 and y = 6, x < y. • If x = -5 and y = -2, x < y. Thus, no relation Answer: E

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