
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
Find the roots of the equation \( 2x^{1/4} + 2x^{-1/4} = 5 \).
A) \( x^2 - 14x + 1 = 0 \)
B) \( x^2 - 17x + 1 = 0 \)
C) \( x^2 - 16.0625x + 1 = 0 \)
D) \( x^2 - 18x + 1 = 0 \)

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