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Nature of Roots

If one root o...

Question

If one root of the quadratic equation $2 x^{2} + k x - 6 = 0$ is 2, then the value of k is

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-1

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-2

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Solution

The correct option is A -1
Since, 2 is root of the given equation $2 x^{2} + k x - 6 = 0$ .
So, it must satisfies the equation.
$\Rightarrow 2 (2)^{2} + k (2) - 6 = 0 8 + 2 k - 6 = 0 2 + 2 k = 0 ∴ k = - 1$

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