If one root of the equation $2 x^{2} + a x - 48 = 0$ is 3, then the value of a is ___________.
10

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Solution

The correct option is A 10
If one root of the equation $2 x^{2} + a x - 48 = 0$ is 3, then substituting $x = 3$ will satisfy the equation.

$2 (3)^{2} + 3 a - 486 = 0$

$\Rightarrow 18 + 3 a - 48 = 0$

$\Rightarrow - 30 + 3 a = 0$

$\Rightarrow a = 10$

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