Question

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Fie expresia din poza.Aratati ca E(x)=1,pentru orice x∈R / {-5;0;5}.

Answer 1

$E(x)=\dfrac{(x-5)(x+5)}{x(x+5)}+\dfrac{10}{x(x-5)}\cdot\dfrac{x-5}{2}=\dfrac{x-5}{x}+\dfrac{5}{x}=\dfrac{x-5+5}{x}=\dfrac{x}{x}=1.$

Green eyes.