To solve the equation \( F(x) + F(4) = x^2 - 16 + F(1) \), we can rearrange it to isolate \( F(x) \):

\[
F(x) = x^2 - 16 + F(1) - F(4)
\]

This means \( F(x) \) is expressed in terms of \( x \) and constants \( F(1) \) and \( F(4) \). If you want to delve deeper into the function's behavior or find specific values, you need to provide more information about \( F(1) \) and \( F(4) \) or any conditions for \( F(x) \).

Do you need further details or assistance with a specific part of this problem? Here are some related questions:

1. What are the values of \( F(1) \) and \( F(4) \)?
2. Is there a specific form or property of \( F(x) \) you need to consider?
3. Would you like to explore specific values of \( x \)?
4. Are there any constraints on \( F(x) \)?
5. Do you need help with another related equation or function? 

Tip: Always consider substituting known values to simplify functions in equations.

Explore the solution to the equation F(x) + F(4) = x² - 16 + F(1), focusing on how to express F(x) in terms of x and constants F(1) and F(4). Ideal for high school students studying algebra and functions.

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