If one root of the quadratic equation 2x2+ax−6=0 is 2, find the value of

Question

If one root of the quadratic equation

2 x^{2} + a x - 6 = 0

is 2, find the value of a.

Options:

A . -1

B . 3

C . 5

D . -5

Answer: Option A
:
A
Since, x = 2 is a root of the given equation

2 x^{2} + a x - 6 = 0

\to

2 (2)^{2} + a \times 2 - 6 = 0

8 + 2 a - 6 = 0

2 a = - 2

a = - 1

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