Question

se considera expresia​

Answer 1

Răspuns:

Explicație pas cu pas:

E(x) = prima fractie x inversa celei de-a doua, se simlifica cu x^2 + 1 si apoi egaland cu 1, avem ecuatia:

x+1 = (x-1)^2 - x(x-2)

x+1 = x^2 - 2x + 1 - x^2 + 2x

x+1 = 1

x = 0.

Answer 2

$\it (x-1)^2-x(x-2)=x^2-2x+1-x^2+2x=1\\ \\ E(x)=\dfrac{x+1}{x^2+1}:\dfrac{1}{x^2+1}=\dfrac{x+1}{x^2+1}\cdot\dfrac{x^2+1}{1}=x+1\\ \\ \\ E(x)=1\ \Rightarrow\ x+1=1\ \Rightarrow\ x=1-1\ \Rightarrow\ x=0$