Question

Fie E(x)= x²-4 \ x²-4x+4 , unde x∈R \ {2} . Aratati ca E(x) - 4 \ x-2 ∈ N* . Repede , dau coroana ! \ = supra

Answer 1

$\frac{(x-2)(x+2)}{(x-2)^{2} } = \frac{x+2}{x-2}$
$E(x)- \frac{4}{x-2} =\frac{x+2}{x-2} - \frac{4}{x-2} = \frac{x+2-4}{x-2} = \frac{x-2}{x-2} =1$