
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 \( x_{1} \) and \( x_{2} \) be two distinct numbers such that \( 3x_{i}^{2} - hx_{i} = b \) for \( i = 1, 2 \). Calculate the value of \( x_{1} + x_{2} \).

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