
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
If 3 and $1 / 3$ are the roots of the equation $a x^{2}-6 x+c=0$, what is the value of $a+c$?
(a) 1
(b) 0
(c) $-\frac{9}{5}$
(d) $\frac{18}{5}$
(e) -5

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