Find the roots of the following equations :
(i) `x+1/x=3, x!=0`
(ii) `1/x-1/(x-2)=3,x!=0,2`

Explanation

Let's solve the given equations step by step.

### Part (i): Solve the equation \( x + \frac{1}{x} = 3 \)

**Step 1: Multiply both sides by \( x \)**
To eliminate the fraction, we multiply both sides of the equation by \( x \) (since \( x \neq 0 \)):
\[
x \cdot x + x \cdot \frac{1}{x} = 3 \cdot x
...