
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 $f(x)= \frac{x^{2}+λ}{x}(x > 0)$, if for any $t \in ( \sqrt{2}, \sqrt{6})$, there always exists a positive number $m$ such that the function $f(x)$ has a symmetric point with a distance of $2m$ at $x=t$, then determine the range of values for the real number $λ$.

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