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      Question

      In the question, two equations I and II are given. You

      have to solve both the equations to establish the correct relation between x and y and choose the correct option. I. x² + 7x = 60 II. y² + 19y + 84 = 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 the relationship cannot be established Correct Answer Incorrect Answer

      Solution

      ATQ,

      From I:

      x² + 7x = 60

      x² + 7x – 60 = 0

      x² + 12x – 5x – 60 = 0

      x(x + 12) – 5(x + 12) = 0

      (x + 12)(x – 5) = 0

      x = -12, 5

      From II:

      y² + 19y + 84 = 0

      y² + 12y + 7y + 84 = 0

      y(y + 12) + 7(y + 12) = 0

      (y + 12)(y + 7) = 0

      y = –12, -7

      So, no relation can be established between x and y.

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