
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 the function $f(x)$, and knowing that $f(0.64) < 0$, $f(0.72) > 0$, and $f(0.68) < 0$, determine the approximate value, accurate to 0.1, of a positive real root of the function.

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