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    Question

    Direction: In each of the following question, two equations are given. You have to solve both the equations to find the relation between x and y.

    I: x2 + 31x + 228 = 0 II:

    y2 + 3y – 108 = 0
    A x > y Correct Answer Incorrect Answer
    B x ≥ y Correct Answer Incorrect Answer
    C x = y or relationship can’t be determined Correct Answer Incorrect Answer
    D x < y Correct Answer Incorrect Answer
    E x ≤ y Correct Answer Incorrect Answer

    Solution

    x2 + 31x + 228 = 0 x2 + 19x + 12x + 228 = 0 x(x + 19) + 12(x + 19) = 0 (x + 12)(x + 19) = 0 x = -12, -19 y2 + 3y – 108 = 0 y2 + 12y – 9y – 108 = 0 y(y + 12) – 9(y + 12) = 0 (y – 9)(y + 12) = 0 y = 9, -12 x ≤ y

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