Question

Este urgent!! Vă rog!​

Answer 1

Explicație pas cu pas:

$E(x) = \biggl(x - \dfrac{1}{2 - x}\biggr) : \dfrac{ {x}^{3} - 2 {x}^{2} + x}{ {x}^{2} - 7x + 10} = \\ = \biggl( \dfrac{2x - {x}^{2} - 1}{2 - x}\biggr) : \dfrac{ x({x}^{2} - 2x + 1)}{(x - 2)(x - 5)} \\ = \biggl(\dfrac{ - ( {x}^{2} - 2x + 1)}{ - (x - 2)}\biggr) : \dfrac{x{(x - 1)}^{2}}{(x - 2)(x - 5)} \\ = \dfrac{{(x - 1)}^{2}}{x - 2} \cdot \dfrac{(x - 2)(x - 5)}{x{(x - 1)}^{2}} = \dfrac{x - 5}{x}$

q.e.d.