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Let x(1),x(2),x(3),x(4) be the roots (re...

Let `x_(1),x_(2),x_(3),x_(4)` be the roots (real or complex) of the equation `x^(4)+ax^(3)+bx^(2)+cx+d=0.` If `x_(1)+x_(2)=x_(3)+x_(4)` and a,b,c,`d in R,` then
If `blt0,` then how many different values of a, we may have

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