Question

tìm x,biết

\(|2x-1|-|3x-4|=0\)

Answer 1

|2x - 1 | - | 3x - 4 | = 0 

<=> | 2x - 1 | = | 3x - 4 | 

TH1 : 2x - 1 = 3x - 4 <=> x = 3

TH2 : 2x - 1 = -3x + 4 <=> 5x = 5 <=> x = 1

Answer 2

`|2x-1|-|3x-4|=0`

`|2x-1|=|3x-4|`

`[(2x-1=3x-4),(2x-1=-3x+4):}`

`[(x=3),(x=1):}`

Answer 3

Ta có: \(\left|2x-1\right|-\left|3x-4\right|=0\)

\(\Leftrightarrow\left|2x-1\right|=\left|3x-4\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-1=3x-4\\2x-1=4-3x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x-3x=-4+1\\2x+3x=4+1\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}-x=-3\\5x=5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)