
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
Determine the value of $n$ if for $\frac{x^2-px}{kx-d}=\frac{n-2}{n+2}$, the roots are numerically equal but opposite in sign and their product is 1.
A) $\frac{2(k-p)}{k+p}$
B) $\frac{2(k+p)}{k-p}$
C) $\frac{d}{2}$
D) $\frac{1}{d}$
E) $1$

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