Question

|2+3x|-|4x-3|=0

Answer 1

|2+3x|-|4x-3|=0

=>|2+3x|=|4x-3|

Ta có 2 trường hợp:

TH1:  2+3x=4x-3                  TH2: 2+3x=-(4x-3)

=>2+3=4x-3x                         =>2+3x=-4x+3

=>6=x                                  =>3x+4x=3-2

=>x=6                                 =>7x=1

=>x=6                                  =>x=1/7

Vây x=6 hoặc x=1/7

Answer 2

|2+3x| - | 4x - 3| = 0

=> |2+ 3x| = | 4x- 3|

=> | 3x+2| = | 4x + (-3)|

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

=> |x| = 5 

=> x = 5 hoặc x = -5

 ___________tíc nha!_________

Answer 3

\(\left|2+3x\right|-\left|4x-3\right|=0\)

\(\Rightarrow\left|2+3x\right|-\left|4x-3\right|=0\)

\(\Rightarrow\orbr{\begin{cases}2x+3x\ge0\\4x-3< 0\end{cases}}\)

TH1: \(2+3x\ge0\)

\(\Rightarrow2+3x=-4x+3\)

\(\Rightarrow-7x+3=2\)

\(\Rightarrow-7x=-1\)

\(\Rightarrow x=\frac{1}{7}\)

TH2:  \(2+3x=4x-3\)

\(\Rightarrow x-3=2\)

\(\Rightarrow x=5\)

Vậy: x = 1/7 hoặc x = 5

Answer 4

x=5 nhé bị nhầm ^^