Question

[Lê Thị Nhật Tiên]

tim x trong gia tri tuyet doi : x-1=-10-3

|x+2|=12+(-3)+|-4|

|x+2|-12=-1

|2x+3|=5

135-|9-x|=35

Answer 1

[Nguyễn Ngọc Linh]

\(\text{ x-1=-10-3}\)

\(x-1=-13\)

\(x=-12\)

\(\text{|x+2|=12+(-3)+|-4|}\)

\(\text{|x+2|}=12-3+4\)

\(\text{|x+2|}=13\)

\(\Rightarrow\orbr{\begin{cases}x+2=13\\x+2=-13\end{cases}\Leftrightarrow\orbr{\begin{cases}x=11\\x=-15\end{cases}}}\)

\(\text{|x+2|-12=-1}\)

\(\text{|x+2|}=11\)

\(\Rightarrow\orbr{\begin{cases}x+2=11\\x+2=-11\end{cases}\Leftrightarrow\orbr{\begin{cases}x=9\\x=-13\end{cases}}}\)

\(\text{|2x+3|=5}\)

\(\Rightarrow\orbr{\begin{cases}2x+3=5\\2x+3=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=2\\2x=-8\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=-4\end{cases}}}\)

\(\text{135-|9-x|=35}\)

\(\text{|9-x|}=100\)

\(\Rightarrow\orbr{\begin{cases}9-x=100\\9-x=-100\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-191\\x=109\end{cases}}}\)

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