# Inspired by an IMO problem!

Algebra Level 5

Let $$a$$ and $$b$$ be two real numbers. If $$x^4+ax^3+bx^2+ax+1=0$$ has two distinct real solutions $$\alpha$$ and $$\beta$$ such that $$\alpha*\beta\not=1$$. Which of the following answer choices must be true for the given equation?

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