Question

If one root of the equation 2x2+ax+6=0 is 2 then a=?

Answer 1

Answer:

-7

Step-by-step explanation:

2x2+ax+6=0

2is the root

so x=2

putting x=2 in equation

2*2^2+2a+6=0

2*4+2a=-6

8+2a=-6

2a=-6-8=-14

a=-14/2=-7

Answer 2

The value of a is -7.

Step-by-step explanation:

Given : If one root of the equation $2x^2+ax+6=0$ is 2.

To find : The value of a ?

Solution :

If 2 is the root of the quadratic equation then it satisfy the equation.

Equation $2x^2+ax+6=0$

Substitute x=2 in the equation,

$2(2)^2+a(2)+6=0$

$8+2a+6=0$

$2a+14=0$

$2a=-14$

$a=-\frac{14}{2}$

$a=-7$

Therefore, the value of a is -7.

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