
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If $x=\dfrac{3-i\sqrt{5}}{2}$ where $i=\sqrt{-1}$, then $\dfrac{1}{x^2-x}$ is equal to?
**A)** $\dfrac{-2 + 4i\sqrt{5}}{3}$  
**B)** $\dfrac{1 + 3i\sqrt{5}}{6}$  
**C)** $\dfrac{-2 + 4i\sqrt{5}}{5}$  
**D)** $-\dfrac{1 + 5i\sqrt{5}}{4}$

Present the answer in LaTex format: \boxed{Your answer}
user