Subject

    ATEO

    Topic

    ATEO - ১৯৯৫

    a+1/a = 3 হলে a4+ (1/a)4= কত?

    ক)
    27
    খ)
    47
    গ)
    49
    ঘ)
    51

    Explanation

    a⁴ + (1/a)⁴ = (a²)² + (1/a²)² = (a² + 1/a²)² - 2a².1/a² = {(a + 1/a)² - 2a.1/a}² - 2 = (3² - 2)² - 2 = 7² - 2 = 49 - 2 = 47

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