
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
Use the bisection method to find an approximate value of a positive real root of the function $f(x)$ to the nearest tenth. Through calculations, it is found that $f(0.64) < 0$, $f(0.72) > 0$, and $f(0.68) < 0$. Find the approximate value of the positive real root of the function accurate to 0.1.

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