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    Roots of the equation x2−5x−14=0x^2-5x-14=0x2−5x−14=0​ are:
    Question

    Roots of the equation x25x14=0x^2-5x-14=0​ are:

    A.

    7, –2

    B.

    3, –2

    C.

    5, –3

    D.

    2, –7

    Correct option is A

    Given:

    x25x14=0x^2-5x-14=0

    Solution:

    x25x14=0x^2-5x-14=0

    x27x+2x14=0x^2-7x+2x-14=0

    x(x-7) + 2(x- 7) = 0

    (x - 7) (x + 2) = 0

    x = 7, -2

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