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E(x)=x²-49/x²-7x - 2x+7/x²-x :1/x-1 , x≠-1 ,x≠0, x≠. Aratati ca E(x)=-1, pt. orice x. nr. real x≠-1, x≠0 si x≠7. ( ESTE URGENT, VA ROOOG!)

Răspuns :

[tex]\dfrac{(x-7)(x+7)}{x(x-7)} -\dfrac{2x+7}{x(x-1)} \cdot\dfrac{x-1}{1}=\dfrac{x+7}{x}-\dfrac{2x+7}{x} =\dfrac{x+7-2x-7}{x} =\dfrac{-x}{x} = -1[/tex]