If one root of the equation `x^(2)-ix-(1+i)=0,(i=sqrt(-1))` is `1+i`, find the other root.

Explanation

To find the other root of the equation \( x^2 - ix - (1+i) = 0 \) given that one root is \( 1+i \), we can follow these steps:

### Step 1: Identify the known root
Let the known root be \( \alpha = 1 + i \).

### Step 2: Use Vieta's Formulas
According to Vieta's formulas, for a quadratic equation of the form \( x^2 + bx + c = 0 \):
- The sum of the roots \( \alpha + \beta = -b \)
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