Quadratics can be dirty! Really?

Algebra Level 5

Let A={xx2+(m1)x2(m+1)=0,xR}A= \{ x|x^2+(m-1)x-2(m+1)=0, x \in R \}

B={xx2(m1)+mx+1=0,xR}B= \{ x|x^2(m-1)+mx+1=0, x \in R \}

Number of values of mm such that ABA\cup B has exactly 3 distinct elements, is

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