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

Explanation

To find the quadratic equation given that the Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of its roots are 8 and 5 respectively, we can follow these steps:

### Step 1: Understand the Definitions
The A.M. of two numbers (roots) \( \alpha \) and \( \beta \) is given by:
\[ \text{A.M.} = \frac{\alpha + \beta}{2} \]
The G.M. of two numbers (roots) \( \alpha \) and \( \beta \) is given by:
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