Question

gttđ của 2x+3=x+2

Answer 1

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

\(\Rightarrow x=-1\) 

+) \(2x+3=-\left(x+2\right)\)

\(\Rightarrow2x+3=-x-2\)

\(\Rightarrow x=\frac{-5}{3}\)

Vậy \(x=-\frac{5}{3}\) hoặc x = -1

Answer 2

|2x + 3| = x + 2

Vì \(\left|2x+3\right|\ge0\)

\(\Rightarrow x+2\ge0\)

Mà 2 > 0

=> \(x\ge0\)

=> 2x + 3 = x + 2

=> 2x - x = 2 - 3

=> x = -1