Question

\(|2x-1|=|2x+3|\)

tính

hepl

Answer 1

Ta có :

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

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

\(\Leftrightarrow\left[{}\begin{matrix}4x=-2\\2x-1-2x-3=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{2}\left(tm\right)\\-4=0\left(loại\right)\end{matrix}\right.\)

Vậy ...

Answer 2

| 2x - 1 | = | 2x + 3 |

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

1) 2x - 1 - 2x - 3 = 0

( 2x - 2x ) - ( 1 + 3 ) = 0

-4 = 0 ( ktm )

2) 2x - 1 = -2x + 3

2x - 1 + 2x - 3 = 0

( 2x + 2x ) - ( 1 + 3 ) = 0

4x - 4 = 0

4x = 4

x = 1 ( tm )

Vậy x = 1