
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 that \(\frac{2x - 3}{x^2 - x} = \frac{A}{x - 1} + \frac{B}{x}\), where \(A\) and \(B\) are constants. If \(S = A^2 + B^2\), find the value of \(S\).

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