
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 real roots  $x_1$ ,  $x_2$  of equation  $x^5-55x+21=0$ , if we know  $x_1\cdot x_2=1$ 

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