If x = 6 is a root of the quadratic equation $3 x^{2} - m x - 24 = 0$ , then the value of m is __

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Solution

Since, x = 6 is a root of $3 x^{2} - m x - 24 = 0$

$\Rightarrow$ $3 (6)^{2} - m \times 6 - 24 = 0$

$\Rightarrow$ 108 - 6m - 24 = 0,

$\Rightarrow$ m = 14.

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