Question

Rezolvati:
|2x-3|=|4x-5|

Answer 1

2x-3=0
x=3/2=1,5
4x-5=0
x=5/4=1,25
x -○○ 5/4 3/2 +○○
2x-3 - - - - - - - -0 + + + +
4x-5 - - - -0 + + + + + + +
I. x <5/4
-2x+3=-4x+5
2x=2
x=1 adevărat
II. 5/5 <=x <3/2
-2x+3=4x-5
-6x=-8
x=4/3=1,333 adevărat
III. x>=3/2
2x-3=4x-5
-2x=-2
x=1 fals

Answer 2

2x-3=4x-5
2x-3=-(4x-5)

2x-4x=-5+3
2x-3=-(4x-5)

-2x=-5+3
2x-3=-(4x-5)

-2x=-2
2x-3=-(4x-5)

x=-2÷-2
2x-3=-(4x-5)

x=1
2x-3=-4x+5

x=1
2x+4x=3+5

x=1
6x=8

x=1
x=8÷6

x=1
8
x= -----
6

x=1
4
x= ------
3

4
x E {1; --- }
3