The conversation between human and AI assistant.
How many values of [math]x[/math] ([math]x \in \mathbb{Z}[/math]) are there such that [math](x ^ 2 - x - 1) ^ {x + 2} = 1[/math]?
Can you tell me what those three values are?
The three values of [math]x[/math] that satisfy the equation are [math]x = -1[/math], [math]x = 0[/math], and [math]x = 1[/math].