If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then the value of a is ___________.

-8

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Solution

The correct option is A
-8

If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then substituting $x = 3$ will satisfy the equation.

$2 (3)^{2} + 3 a + 6 = 0$

$\Rightarrow 18 + 3 a + 6 = 0$

$\Rightarrow 24 + 3 a = 0$

$\Rightarrow a = - 8$

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