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If least value of f(x)= |x+1|+| x|+|x- ...

If least value of `f(x)= |x+1|+| x|+|x- 1|-(sqrt5-1)/2` is one of the roots of the quadratic equation `x^2+ bx + c = 0`, where `b, c in Q`, then `(b + c)` is equal to

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