Question

sa se rezolve ecuatia : |2x-1|=5 ​

Answer 1

Răspuns:

2x-1 = 5 ; 2x= 6 ; x =3;

2x-1= -5; 2x=-4; x=-2;

Answer 2

$\it |2x-1|=5\ \Rightarrow\ 2x-1=\pm5\\ \\ 2x-1=-5\ \Rightarrow\ 2x=-5+1\ \Rightarrow\ 2x=-4\ \Rightarrow\ x=-2\\ \\ 2x-1=5\ \Rightarrow\ 2x=5+1\ \Rightarrow\ 2x=6\ \Rightarrow\ x=3$

Ecuația  admite  două  soluții:

$\it x_1=-2,\ \ x_2=3$