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    Question

    In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer :

    I. 84x² - 167x - 55 = 0

    II. 247y² + 210y + 27 = 0

    A x < y Correct Answer Incorrect Answer
    B x > y Correct Answer Incorrect Answer
    C x=y or no relationship cannot be established between x and y Correct Answer Incorrect Answer
    D x ≥ y Correct Answer Incorrect Answer
    E x ≤ y Correct Answer Incorrect Answer

    Solution

    I. 84x² - 167x - 55 = 0  84x² - 35x - 132x - 55 = 0 7x (12 x – 5) – 11 (12 x – 5) = 0 (12 x – 5) (7 x – 11) = 0 ∴ x = 5/12, 11/7 II. 247y² + 210y + 27 = 0 247y² + 171y  + 39 y + 27 = 0 19 y(13 y + 9) + 3(13 y + 9) = 0 (19 y + 3) (13 y + 9) = 0 ∴y = -3/19, -9/13  Hence, x>y

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