Question

Rezolvati : |x-1|=|2x+3| . Multumesc anticipat !

Answer 1

x-1=2x+3
3x=3+1
3x=4
x=4/3
x=1,3

Answer 2

$|x-1|=|2x+3|=\ \textgreater \ x-1=2x+3~sau~1-x=2x+3. \\ Cazul~I.~x-1=2x+3=\ \textgreater \ x-2x=3+1\ \textless \ =\ \textgreater \ -x=4=\ \textgreater \ \boxed{x=-4} \\ \\ Cazul~II.~1-x=2x+3=\ \textgreater \ -x-2x=3-1\ \textless \ =\ \textgreater \ -3x=2=\ \textgreater \ \\ =\ \textgreater \ \boxed{x= -\frac{2}{3}}$