
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
Solve the equation $\sqrt{x + 16} - \frac{8}{\sqrt{x + 16}} = 4$.
A) $x = 20 + 8\sqrt{3}$  
B) $x = 20 - 8\sqrt{3}$  
C) $x = 20 + 8\sqrt{3} \text{ and } x = 20 - 8\sqrt{3}$  
D) No real solution  
E) One extraneous root

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