If A.M. and GM. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.

Explanation

To solve the problem, we need to find a quadratic equation given that the Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of its roots are 8 and 5, respectively.

### Step-by-Step Solution:

1. **Understanding A.M. and G.M.**:
- The A.M. of the roots \( A \) and \( B \) is given by:
\[
A.M. = \frac{A + B}{2} = 8
...