
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 what real values of \( k \) and \( m \), where \( m \neq 0 \), does the equation \( x^2 + kx + m = 0 \) have real roots?
A) \( m > \frac{k^2}{4} \)
B) \( m < \frac{k^2}{4} \)
C) \( m = \frac{k^2}{4} \)
D) \( m \leq \frac{k^2}{4} \)
E) \( m \neq \frac{k^2}{4} \)

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