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

Let f(x)=∣∣x2−4x+3∣∣ be a function defined on x∈[0,4] and

1.	Let f(x)=∣∣x2−4x+3∣∣ be a function defined on x∈[0,4] and α,β,γ be the abscissas of the critical points of f(x). If m and M are the local and absolute maxima values of f(x) respectively, then the value of α2+β2+γ2+m2+M2 is
Answer» Let $f (x) = ∣ ∣ x^{2} - 4 x + 3 ∣ ∣$ be a function defined on $x \in [0, 4]$ and $α, β, γ$ be the abscissas of the critical points of $f (x) .$ If $m$ and $M$ are the local and absolute maxima values of $f (x)$ respectively, then the value of $α^{2} + β^{2} + γ^{2} + m^{2} + M^{2}$ is