\[y^2 - xy - x^2 = 1\]

Let \((x,y)\) be the non-negative integer solutions to the hyperbolic graph above.

If \(x+y = n\) for some perfect square \(n\), what is the sum of all possible \(n?\)

**Hint:** The only Fibonacci numbers that are perfect squares are 0, 1, and 144.

×

Problem Loading...

Note Loading...

Set Loading...