
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 $x_1$ and $x_2$ are the two roots of the equation $2x^2 - 4x + 1 = 0$, calculate the value of $\frac{x_1}{x_2} + \frac{x_2}{x_1}$.

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