
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
Determine the relationship between coefficients $a, b, c$ of the quadratic equation $ax^2 + bx + c = 0$, such that one root is triple the other root.
A) $3b^2 = 16ac$
B) $16b^2 = 3ac$
C) $4b^2 = 3ac$
D) $b^2 = 12ac$

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