Question

Cum il aflu pe x din ecuatia: |-3x+1|=|x+2| ?

Answer 1

Impartim in doua cazuri posibile : ○-3x+1 = x+2  -4x = 1 => x= -1/4 ○-3x+1 = -(x+2) -3x+1 = -x-2 -2x = -3 x = 3/2 M-am folosit de proprietatea |a| = a sau |a| = -a ("|a|" fiind primul modul).

Answer 2

i)

-3x+1=x+2

-3x+1-x-2=0

-4x-1=0

-4x=1⇒x=-1/4

ii)

-3x+1=-x-2

-3x+1+x+2=0

-2x+3=0

-2x=-3

x=3/2

x∈{-1/4 , 3/2}