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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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