
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
The foci of the hyperbola $\dfrac{x^2}{4} - \dfrac{y^2}{9} = 1$ are located at $(±c, 0)$, where $c$ is calculated using the equation $c^2 = a^2 + b^2$, with $a^2 = 4$ and $b^2 = 9$. Calculate the value of $c$.

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