
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
For which values of the parameter \(a\), are both roots of the equation \((2-a) x^{2} - 3a x + 2a = 0\) greater than \( \frac{1}{2} \)?

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