
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  $\alpha$  and  $\beta$  are the roots of the equation  $3x^2+x-1=0$, where  $\alpha>\beta$, find the value of  $\frac{\alpha}{\beta}+\frac{\beta}{\alpha}$.

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