# Quadratics can be dirty! Really?

Algebra Level 5

Let $A= \{ x|x^2+(m-1)x-2(m+1)=0, x \in R \}$

$B= \{ x|x^2(m-1)+mx+1=0, x \in R \}$

Number of values of $$m$$ such that $$A\cup B$$ has exactly 3 distinct elements, is

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