
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
Given a circle (x-a)<sup>2</sup>+y<sup>2</sup>=9 (a>5) with a point M on it such that |OM|=2|MQ| (O is the origin) holds true, Q(2,0), the range of values for the real number a is _____.

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