Question

2 |x-1| + 3 (x+2)=3^2

mình sẽ tick cho bạn nào nhanh nhất nha mình đang cần gấp

Answer 1

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

\(2\left|x-1\right|+3x+6=9\)

\(2\left|x-1\right|=9-3x-6\)

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

\(\left|x-1\right|=\frac{3-3x}{2}\)

\(\Rightarrow\orbr{\begin{cases}x-1=\frac{3-3x}{2}\\x-1=-\frac{3-3x}{2}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{3-3x}{2}+\frac{2}{2}\\x=\frac{-3+3x}{2}+\frac{2}{2}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{3-3x+2}{2}\\x=\frac{-3+3x+2}{2}\end{cases}}\)

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

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

\(\Rightarrow\orbr{\begin{cases}5x=5\\x=1\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=1\\x=1\end{cases}}\)