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    Which of the following is the standard representation of quadratic equation (x - 4)(x+1) = 2?
    Question

    Which of the following is the standard representation of quadratic equation (x - 4)(x+1) = 2?

    A.

    x23x6=0x² - 3x – 6 = 0​​

    B.

    x24x2=0x² - 4x – 2 = 0 ​​

    C.

    x2x2=0 x² - x – 2 = 0 ​​

    D.

    x23x4=0x² - 3x – 4 = 0​​

    Correct option is A

    Given:

    (x-4)(x+1) =2

    Solution:

    Expanding the equation:

    (x-4)(x+1) =2

    x2+x4x4=2x^2 +x -4x -4 = 2​​

    x23x42=0x^2 -3x -4 -2 = 0​​

    x23x6=0x^2 -3x -6 = 0​​

    Hence option (a) is correct representation

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