[tex] \it E(x)= \frac{x+1}{ x^{2} +1} : \frac{(x-1)^{2}-x(x-2)}{x^{2}+1} = \\ \\
\frac{x+1}{ x^{2} +1} * \frac{x^{2}+1}{(x-1)^{2}-x(x-2)} = \\ \\
\frac{x+1}{1} * \frac{1}{(x^{2}-2x+1)-x^{2}+2x} = \\ \\
\frac{x+1}{1}* \frac{1}{x^{2}-x^{2}-2x+2x+1} = \\ \\
x+1 \\ \\
E(x)= x+1 \ si \ E(x)= 1 \rightarrow x+1=1 \rightarrow x=0 [/tex]
1. daca intalnim 2 fractii impartite, inmultim prima cu inversul celeilalte:
[tex] \frac{x}{y} : \frac{a}{b} = \frac{x}{y} * \frac{b}{a} = \frac{xb}{ya} [/tex]
2. Presupun ca stii sa dai factor comun si sa simplifici: exemplu:[tex] \frac{ x^{2}+x }{x} = \frac{x(x+1)}{x} = \frac{x+1}{1} [/tex]
nu prea cred ca mai am ce explica..
