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

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

=> x² − [(m + 3) - m]x − m (m + 3) = 0 

=> x² − (m + 3)x + mx − m (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 equation are − m and m + 3.