
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
Consider the quadratic equation \(x^2 - 2px + (p^2 - 4p + 4) = 0\). Determine the difference between the larger root and the smaller root.
- **A)** \(2\sqrt{p-1}\)
- **B)** \(4\sqrt{p-1}\)
- **C)** \(4\sqrt{p}\)
- **D)** \(4p\)
- **E)** \(8\sqrt{p-1}\)

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