
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
Consider the quadratic equation given by:
\[ g(x) = x^2 - 6x + k = 0 \]
where \( k \) is such that the graph of \( y = g(x) \) will touch the x-axis exactly at one point. Determine the value of \( k \).
A) 9
B) 18
C) 0
D) -9

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