Question

In the following, find the value of a;
(i) 4x^2 + ax + 9 = (2x + 3)^2​

Answer 1

Answer:

Follow the following steps:

Step-by-step explanation:

4x^2+ax+9=(2x+3)^2

4x^2+ax+9=4x^2+12x+9

4x^2-4x^2+9-9+ax=12x

ax=12x

a=12

Hope it helps you.

Answer 2

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

Solving from RHS

$( {2x + 3})^{2} = {4x}^{2} + 9 + 12x$

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

[red tex]this is the answer[red tex]