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      Question

      I. x2 + 11x + 30 = 0 II.

      y2 + 17y + 72 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.
      A if x>y Correct Answer Incorrect Answer
      B if x Correct Answer Incorrect Answer
      C if x≥y Correct Answer Incorrect Answer
      D if x≤y Correct Answer Incorrect Answer
      E if x=y or the relationship cannot be established. Correct Answer Incorrect Answer

      Solution

      I. x2 + 11x + 30 = 0 => x2 + 6x + 5x + 30 = 0 => x(x + 6) + 5(x + 6) = 0 => (x + 6) (x + 5) = 0 => x = -6, -5 II. y2 + 17y + 72 = 0 => y2 + 9y + 8y + 72 = 0 => y(y + 9) + 8(y + 9) = 0 => (y + 9) (y + 8) = 0 => y = -9, -8 Hence, x > y.

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