Question

Fie E(x) = imaginea de mai jos .. 
Rezolvati ecuatia E(x) = x+2 pentru orice x∈R \ $\frac{1}{5}$ cu ±

Answer 1

[tex]E(x)=\dfrac{25x^2-10x+1}{5x-1}:\dfrac{25x^2-1}{10x+2}=\dfrac{(5x-1)^2}{5x-1}\cdot\dfrac{2(5x+1)}{(5x+1)(5x-1)}=2\\ E(x)=2\; pentru \; x \in \mathbb{R} \setminus \lbrace\pm \dfrac{1}{5}\rbrace\\ 2=x+2 \Rightarrow x=0 \; , \; x \in \lbrace {0} \rbrace -solutie[/tex]