Subject

    গাণিতিক যুক্তি

    Topic

    সূচক ও লগারিদম

    x = 2 + 22/3+ 21/3হলে, x3- 6x2+ 6x - 2 মান কত?

    ক)
    1
    খ)
    -1
    গ)
    0
    ঘ)
    3

    Explanation

    x = 2 + 2 2/3 + 2 1/3 ⇒ x - 2 = 2 2/3 + 2 1/3 ⇒ (x - 2) 3 = (2 2/3 + 2 1/3 ) 3 ⇒ x 3 - 3.x 2 .2 + 3.x.2 2 - 2 3 = (2 2/3 ) 3 + (2 1/3 ) 3 + 3.2 2/3 .2 1/3 ( 2 2/3 + 2 1/3 ) ⇒ x 3 - 6x 2 + 12x - 8 = 2 2 + 2 1 + 3.2(x - 2) ⇒ x 3 - 6x 2 + 12x - 8 = 4 + 2 + 6x - 12 ⇒ x 3 - 6x 2 + 6x - 2 = 0

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