The roots of the equation x^2 – 3x – m(m + 3) = 0, where m is a constant, are ____.

The roots of the equation x2 − 3xm (m + 3) = 0, where m is a constant, are ____.

  1. A

    m and m + 3 

  2. B

    m and m - 3 

  3. C

    2m and m - 3 

  4. D

    m and m + 6 

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    Solution:

    The given quadratic equation is x2 − 3xm (m + 3) = 0. 

    x2 − [(m + 3) - m]xm (m + 3) = 0 

    x2 − (m + 3)x + mxm (m + 3) = 0 

    x{x - (m + 3)} + m{x - (m + 3)} = 0 

    (x + m)(x - (m + 3)) = 0 

    x = -m or m + 3 

    Thus, the roots of the given quadratic equations are −m and m + 3. 

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