
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 value(s) of $k$ does the equation $y = x^2$ and $y = 5x + k$ result in no real solutions for $x$?
A) $k > -\frac{25}{4}$
B) $k < -\frac{25}{4}$
C) $k = -\frac{25}{4}$
D) $k = 0$
E) $k > 0$

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