If one root of the equation 2 x 2 + a x + 6 = 0 is 3, then the value of a is ___________. Options: A . &nbsp-8 B . &nbsp7 C . &nbsp3 D . &nbsp5

If one root of the equation 2x2+ax+6=0 is 3, then the value of a is __________

Question

If one root of the equation

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

is 3, then the value of a is ___________.

Options:

A . -8

B . 7

C . 3

D . 5

Answer: Option A
:
A
If one root of the equation

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

is 3, then substituting

x = 3

will satisfythe 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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