
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 the roots of the equation \(3\sqrt{x} + \frac{3}{\sqrt{x}} = 7\).
**A)** \(x = \left(\frac{7 + \sqrt{13}}{6}\right)^2\) and \(x = \left(\frac{7 - \sqrt{13}}{6}\right)^2\)
**B)** \(x = 3\) and \(x = 1\)
**C)** \(x = \left(\frac{7 + \sqrt{15}}{6}\right)^2\) and \(x = \left(\frac{7 - \sqrt{15}}{6}\right)^2\)
**D)** \(x = 2\) and \(x = 0.5\)

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