Question

Tim x:

|x+1| = x

giup mk voi chieu hoc roi

Answer 1

\(\left|x+1\right|=x\left(đk:x\ge0\right)\)

\(\Leftrightarrow x+1=x\)

\(\Leftrightarrow1=0\left(VLý\right)\)

Vậy \(S=\varnothing\)

Answer 2

\(|x+1|=x\) (đk: \(x\ge-1\))

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

<=> \(\left[{}\begin{matrix}0=-1\left(VLí\right)\\x=\dfrac{-1}{2}\left(TM\right)\end{matrix}\right.\)

Vậy nghiệm PT là \(S=\left\{\dfrac{-1}{2}\right\}\)