
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 the equations \(x^2 + kx + 8 = 0\) and \(x^2 - kx + 8 = 0\). If, for correctly designated roots, each root of the second equation equals each corresponding root of the first equation increased by 3, find the value of \(k\).
A) 2
B) 3
C) 4
D) 5

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