Question

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

A)7
B)7/2
C)-7
D)-7/2​

Answer 1

Answer:

-7

Step-by-step explanation:

Solution : If 2 is the root of the quadratic equation then it satisfy the equation. Substitute x=2 in the equation, Therefore, the value of a is -7.

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Answer 2

Question:

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

Given:

• Given Equation is 2x²+ax+6=0
• The Root of Equation is 2

To Find:

• Value of a

Concept:

Here, we have to find the value of a. We are given with the equation and one of the roots of equation. For finding the value of a, we have to substitute value of x as the root of Equation.

Solution:

As it is stated that 2 is the root of given equation. So, it should satisfy the equation $\sf{{2x}^{2}+ax+6=0}$

Now, substituting value of x as 2. Then,

$\rightarrow\mathsf{{2x}^{2}+ax+6=0}$

$\rightarrow\mathsf{{2(2)}^{2}+a(2)+6=0}$

$\rightarrow\mathsf{2\times 4+2a+6=0}$

$\rightarrow\mathsf{8+2a+6=0}$

$\rightarrow\mathsf{14+2a=0}$

$\rightarrow\mathsf{2a=-14}$

Dividing -14 by 2;;

$\rightarrow\mathsf{a=\large\frac{-14}{2}}$

$\rightarrow\bold{a=-7}$

$\therefore\underline{\mathsf{Value\: of\: a\: is\: -7}}$