
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 $r$ and $s$ are the roots of the equation $3x^2 - 2x + 4 = 0$, what is the value of $\frac{1}{r^{2}}+\frac{1}{s^{2}}$?
A) $-\frac{4}{3}$
B) $-\frac{6}{4}$
C) $-\frac{5}{4}$
D) $-\frac{1}{2}$

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