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Let f(x)=|x2−4x+3| be a function defined on x∈[0,4] and α,β,γ are the abscissas of the critical points of f(x). If m and M are the local and absolute maximum values of f(x) respectively, then the value of α2+β2+γ2+m2+M2 is

Answer» Let f(x)=|x24x+3| be a function defined on x[0,4] and α,β,γ are the abscissas of the critical points of f(x). If m and M are the local and absolute maximum values of f(x) respectively, then the value of α2+β2+γ2+m2+M2 is


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