Question

Tìm x biết:

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

 

Answer 1

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

\(\Rightarrow\left[\begin{array}{nghiempt}2x-1=3x-4\\2x-1=4-3x\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}3x-2x=-1+4\\2x+3x=1+4\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=3\\5x=5\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=3\\x=1\end{array}\right.\)

Vậy \(\left[\begin{array}{nghiempt}x=3\\x=1\end{array}\right.\)

Answer 2

       |2x - 1| = |3x - 4|

<=> |2x - 3x| = |-1 + 4|

<=> - x = 3 hoặc - x = -3

Nếu -x = 3 thì x = - 3

Nếu -x = - 3 thì x = 3