
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
Let the function
$$
f(x)= \sqrt{4 x^{4}-3 x^{2}-10 x+26} - \sqrt{4 x^{4}-19 x^{2}-6 x+34}.
$$

When \( x = \qquad \), the function \( y = f(x) \) attains its maximum value.

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