Question

|3x - 5| = |x + 2|

Answer 1

\(\left|3x-5\right|=\left|x+2\right|\)

\(\Rightarrow3x-5=x+2\)

\(\Rightarrow3x-x=2+5\)

\(\Rightarrow2x=7\)

\(\Rightarrow x=3,5\)

Vậy x = 3,5

Answer 2

|3x - 5| = |x + 2|

=> 3x - 5 = x + 2 hoặc 3x - 5 = - (x + 2)

+) Trường hợp 1:

Nếu 3x - 5 = x + 2

=> 3x - x = 2 + 5

=> 2x = 7

=> x = \(\frac{7}{2}\)

+) Trường hợp 2:

Nếu 3x - 5 = - (x + 2)

=> 3x - 5 = -x - 2

=> 3x + x = -2 + 5

=> 4x = 3

=> x = \(\frac{3}{4}\)

Vậy x = \(\frac{7}{2}\); x = \(\frac{3}{4}\)

Answer 3

/3x-5/=/x+2/

khi đó 3x-5=+-(x-2)

3x-5=x-2 3x-5=-x+2

3x-x=-2+5 3x+x=2+5

2x=3 4x=7

x=3/2 x=7/4