
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 $x^2 + px + q = 0$, where $p$ and $q$ are positive numbers. If the roots of this equation differ by 2 and one root is twice the other root, find the value of $p$.
A) -6
B) 6
C) 2
D) -2

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