To find the roots of the quadratic equation (3x^2 - 12x + 9 = 0), we can use the quadratic formula, which is given by: [ x = \frac {-b \pm \sqrt {b^2 - 4ac}} {2a} ]

This equation shows that the final velocity ( v ) of the object just before it hits the ground is directly related to the square root of the height ( h ) from which it falls.

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