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]?
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]?
Let me think about that for a moment. Hmm... I believe there are three values of [math]x[/math] that satisfy the equation.