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Senior high school math exercises
2, should first judge the equation x? +(B+2)x+B+ 1 = 0.

δ=(B+2)? -4(B+ 1)=B? ≥0

(1) When B=0 and δ = 0, the equation has two equal real roots-1, and only one element is counted in the set.

At this time, A={- 1}, so the sum of all elements in a is-1.

(2) when B≠0, δ >; Equation 0 has two unequal real roots, and set A has two elements.

Vieta theorem knows that the sum of two roots is -(B+2), that is, the sum of all elements in A is -(B+2).