Question

Tìm x :

\(\left|x-1,5\right|=7,5-\left|2x-3\right|\)

Answer 1

\(\left|x-1,5\right|=7,5-\left|2x-3\right|\)

=> \(\orbr{\begin{cases}x-1,5=7,5-\left(2x-3\right)\\x-1,5=7,5-\left[-\left(2x-3\right)\right]\end{cases}}\)=> \(\orbr{\begin{cases}x-1,5=7,5-2x+3\\x-1,5=7,5+2x-3\end{cases}}\)

=> \(\orbr{\begin{cases}x-1,5=10,5-2x\\x-1,5=4,5+2x\end{cases}}\)=> \(\orbr{\begin{cases}x+2x=10,5+1,5\\x-2x=4,5+1,5\end{cases}}\)=. \(\orbr{\begin{cases}3x=12\\-x=6\end{cases}}\)=> \(\orbr{\begin{cases}x=4\\x=-6\end{cases}}\)