If one root of the quadratic equation $2 x^{2} + a x - 6 = 0 i s 2$ , the value of a is:

- 1

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- 5

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Solution

The correct option is A - 1
Since 2 is a root of the quadratic equation $2 x^{2} + a x - 6 = 0$ , we have:
$2 (2)^{2} + α (2) - 6 = 0$
$\Rightarrow 8 + 2 α - 6 = 0$
$\Rightarrow 2 a = - 2$
$\Rightarrow α = - 1$

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