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    ​The roots of the equation x2−7x+12=0x^2 - 7x+12= 0x2−7x+12=0​​ are:​
    Question

    The roots of the equation x27x+12=0x^2 - 7x+12= 0​ are:

    A.

    3, 4

    B.

    5, 6

    C.

    2, 3

    D.

    7, 8

    Correct option is A

    Given:

    x27x+12=0x^2 - 7x+12= 0

    Solution:

    x27x+12=0x^2 - 7x+12= 0

    x2-3x -4x +12 = 0  (-3 ×\times -4= 12 , -3-4 =-7)

    x( x-3) -4( x-3) = 0

    (x-3) (x-4) =0

    Roots are-

    x-3=0

    x=  3

    & x-4 =0

    x= 4

    Option (a) is right.


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