Question

Se considera expresia E(x) = ( $( \frac{(x+2)^{2} }{ x^{2}+4 } -1) : \frac{x}{ x^{2} +4}$
Aratati ca E(x)=4

Answer 1

[tex]E(x)=(\frac{(x+2)^2}{x^2+4}-1):\frac{x}{x^2+4}\\ E(x)=\frac{x^2+4x+4-x^2-4}{x^2+4}*\frac{x^2+4}{x}\\ E(x)=\frac{4x}{x}=4[/tex]