All possible values of a, so that 6 lies between the roots of the equation `x^2 + 2(a-3)x +9 =0`

Explanation

To find all possible values of \( a \) such that \( 6 \) lies between the roots of the equation \( x^2 + 2(a-3)x + 9 = 0 \), we will follow these steps:

### Step 1: Identify the quadratic equation
The given quadratic equation is:
\[ x^2 + 2(a-3)x + 9 = 0 \]
This can be rewritten as:
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