Sienna is solving the quadratic equation by completing the square.

3x2 9x – 4 = 0

3x2 9x = 4

a(x2 3x) = 4

what is the value of a?

–4
–3
3
4

 The correct option is (C) 3.

Step-by-step explanation: Given that Sienna is solving the quadratic equation by completing the square as follows:

We are given to find the find the value of a.

We can see that in the second step of Sienna's solution, 3 is common in both the terms, and

So, she took 3 out and then in the third step, the expression within the bracket remais

Therefore, the complete steps are as follows:

Hence, the value of a is 3.

Thus, (C) is the correct option.

44

step-by-step explanation:

the