Solutia reala a ecuatiei [tex]\frac{x}{2}[/tex] -1=x este x=...

Răspuns :

x/2 - x = 1
x-2x=2
-x=2
x=(-2)

[tex] \frac{x}{2} - 1 = x \\ \\ 2 \times \frac{x}{2} - 2 = 2x \\ \\ x - 2 = 2x \\ \\ x - 2 + 2 = 2x + 2 \\ \\ x = 2x + 2 \\ \\ x - 2x = 2x - 2x + 2 \\ \\ x - 2x = 2 \\ \\ 1x - 2x = (1 - 2)x = - 1x = - x \\ \\ - x = 2 \\ \\ 1 \times ( - x) = - 1 \times 2 \\ \\ = > x = - 1 \times 2 = - 2 [/tex]