
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
Given complex numbers \( z_{1}, z_{2} \) such that \( \left|z_{1}\right|=1, \left|z_{2}\right|=\frac{5}{2}, \left|3 z_{1}-2 z_{2}\right|=7 \), find \( \frac{z_{1}}{z_{2}} \).

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