
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
A tangent line is drawn at point \\(P(x_{0},y_{0})\\) on the curve \\(y=x- \dfrac{1}{x}(x > 0)\\), which intersects the \\(x\\)-axis and \\(y\\)-axis at points \\(A\\) and \\(B\\), respectively. Let \\(O\\) be the origin. If the area of \\(\triangle OAB\\) is \\(\dfrac{1}{3}\\), find \\(x_{0}=\\)_______.

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