Question

4 : / x - 2 / = 2 ( x < 2 )

Tìm x

 

Answer 1

4 / |x - 2| = 2

=> |x - 2| = 2

=> \(\left[\begin{array}{nghiempt}x-2=2\\x-2=-2\end{array}\right.\)  => \(\left[\begin{array}{nghiempt}x=4\\x=0\end{array}\right.\)

Mà x < 2 => x = 0

Answer 2

 

\(4:\left|x-2\right|=2\left(x< 2\right)\)

\(\left|x-2\right|=4:2\)

\(\left|x-2\right|=2\)

\(\Rightarrow\left[\begin{array}{nghiempt}x-2=2\\x-2=-2\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}x=4\\x=0\end{array}\right.\)

mà \(x< 2\)

Nên \(x=0\)

Answer 3

4:|x-2|=2

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

\(\Leftrightarrow\begin{cases}x-2=2\\x-2=-2\end{cases}\)\(\Rightarrow\begin{cases}x=4\left(loai\right)\\x=0\left(tm\right)\end{cases}\)

=>x=0