
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
Find the condition under which the roots of the equation $ax^2 + bx + c = 0$ differ by 2.
**A)** $c = a - b$  
**B)** $c = \frac{b^2}{4a} - a$  
**C)** $c = \frac{b^2}{2a} - a$  
**D)** $c = a + b$

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