
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
Define the operation "★" within the real number range, with the rule <i>a</i>★<i>b</i> = <i>a</i><sup>2</sup> - <i>b</i><sup>2</sup>. If the equation (2★3)★<i>x</i> = 9 has roots <bk>_____</bk>.

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