Question

tim x

|x-1| = 2x

Answer 1

|x - 1| = 2x

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

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

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

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

Answer 2

|x-1|=2x

=> x-1=2x hoặc x-1=-2x

=>x-2x=1 hoặc x+2x=1

=>-x=1 hoặc 3x = 1

=> x=-1 hoặc x=1/3

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