# An algebra problem by Vicky Vignesh

Algebra Level 3

$q(x) = x^2+ax+b, (a, b) \in \mathbb R$

Find the number of real pairs $$(a, b)$$ such that whenever $$\alpha$$ is a root of $$q(x)$$ $$\alpha^2 -2$$ is also a zero of $$q(x)$$.

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