Question

find the value of a when 4x^2+ax +9 =(2x +3)^2​

Answer 1

Answer: 12

Step-by-step explanation:

Answer 2

The value of a is 12.

Step-by-step explanation:

The expression is:

$4x^{2}+ax +9 =(2x +3)^{2}$

Compute the value of a as follows:

$4x^{2}+ax +9 =(2x +3)^{2}$

$4x^{2}+ax +9 =(2x)^{2}+(2\times 2x\times 3)+(3)^{2}$

$4x^{2}+ax +9 =4x^{2}+12x +9$

Comparing the variables, we get

$ax=12x\\a=12$

Thus, the value of a is 12.