Two resistance `R_1 and R_2` when connected in series produce equivalent resistance equal to x. and when the same two resistance are connected in parallel then equivalent resistance becomes y. Calculate the product of magnitudes of `R_1 and R_2` in terms of x and y.

Explanation

To solve the problem, we need to find the product of the resistances \( R_1 \) and \( R_2 \) in terms of the equivalent resistances \( x \) (for series) and \( y \) (for parallel).

### Step-by-Step Solution:

1. **Understand the Series Resistance Formula**:
When two resistances \( R_1 \) and \( R_2 \) are connected in series, the equivalent resistance \( x \) is given by:
\[
x = R_1 + R_2
...