Question

Tìm x biết |2x+3| - |x+2| =0

Answer 1

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

\(\Leftrightarrow2x+3=x+2\) hoặc \(2x+3=-\left(x+2\right)\)

\(\Leftrightarrow x=-1\) hoặc \(x=-\frac{5}{3}\)

Answer 2

|2x+3|-|x+2|=0

*)Nếu x>-3/2

=>2x+3-x-2=0

<=>x-1=0

<=>x=1(TM)

*)Nếu -2<x<-3/2

=>-2x-3-x-2=0

<=>-3x-5=0

<=>3x=-5

<=>x=-5/3(TM)

*)Nếu x<-2

=>-2x-3+x+2=0

<=>-x-1=0

<=>x=-1(L)

Vậy x={-5/3;1}