Subject

    বিগত বছরের প্রশ্ন

    Topic

    বিসিএস ৩৮তম

    2x+21-x=3 হলে, x = কত?

    ক)
    (1,2)
    খ)
    (0,2)
    গ)
    (1,3)
    ঘ)
    (0,1)

    Explanation

    2 x +2 1-x =3 => 2 x +2 1 /2 x =3 => a+ 2/a = 3 [ 2 x = a ধরে ] => a^2 + 2 = 3a => a^2 - 3a + 2 = 0 => a^2 - 2a - a + 2 = 0 => a(a-2) -1 (a-2) = 0 => (a-2) (a-1) = 0 এখন, a - 2 = 0            এবং a - 1 = 0 a = 2                এবং   a = 1 => 2^x = 2       এবং 2^x = 1 => 2^x = 2^1   এবং 2^x = 2^0 =>  x = 1          এবং  x = 0 x = (0, 1)

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