If `x_1, x_2` be the roots of the equation `x^2 -3x+ A=0` and `x_3,x_4` be those of the equation `x^2-12x + B = 0` and `x_1 , x_2, x_3, x_4` be an increasing GP. find find A and B.

Explanation

To solve the problem, we need to find the values of \( A \) and \( B \) given the roots of two quadratic equations and the condition that the roots form an increasing geometric progression (GP).

### Step-by-Step Solution:

1. **Identify the Roots from the Equations:**
- For the first equation \( x^2 - 3x + A = 0 \):
- The sum of the roots \( x_1 + x_2 = 3 \) (from Vieta's formulas).
- The product of the roots \( x_1 x_2 = A \).
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