\(\left|x+5.7\right|-\left|-9.3\right|=0\)
\(\Leftrightarrow\left|x+35\right|-\left|-27\right|=0\)
\(\Leftrightarrow\left|x+35\right|-27=0\)
\(\Leftrightarrow\left|x+35\right|=0+27\)
\(\Leftrightarrow\left|x+35\right|=27\)
\(\Leftrightarrow\left\{{}\begin{matrix}x+35=27\\x+35=-27\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=-8\\x=-62\end{matrix}\right.\)
Vậy ...
\(\left|x+5,7\right|-\left|-9,3\right|=0\)
\(\Rightarrow\left|x+5,7\right|-9,3=0\)
\(\Rightarrow\left|x+5,7\right|=9,3\)
\(\Rightarrow\left[{}\begin{matrix}x+5,7=9,3\\x+5,7=-9,3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3,6\\x=-15\end{matrix}\right.\)
Vậy \(x\in\left\{3,6;-15\right\}\)
\(\left|x+5.7\right|-\left|-9.3\right|=0\)
\(\Leftrightarrow\left|x+35\right|-27=0\)
\(\Leftrightarrow\left|x+35\right|=27\)
\(\Rightarrow\left[{}\begin{matrix}x+35=27\\x+35=-27\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x=-62\end{matrix}\right.\)
Vậy \(x\in\left\{8;-62\right\}\)
