Question

| x + 1| - x + 1= 2

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

Tìm x giùm mk nhé

Answer 1

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

\(\Rightarrow\left|x+1\right|=1+x\)

\(\Rightarrow\left[{}\begin{matrix}x+1=-1-x\\x+1=1+x\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=0\end{matrix}\right.\)

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

\(\Rightarrow\left|x+1\right|-\left|2x+3\right|=0\)

Mà |x+1|\(\ge0\);\(\left|2x-3\right|\ge0\)

\(\Rightarrow\left\{{}\begin{matrix}x+1=0\\2x-3=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-1\\x=\dfrac{3}{2}\end{matrix}\right.\)