a) \(\left|4x^2-25\right|=0\)
\(\Leftrightarrow4x^2-25=0\)
\(\Leftrightarrow x^2=\dfrac{25}{4}\)
\(\Leftrightarrow x=\pm\dfrac{5}{2}\)
Vậy ................
b) \(\left|x-2\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=3\\x-2=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-1\end{matrix}\right.\)
Vậy ...............
c) \(\left|x-3\right|=2x-1\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=2x-1\\x-3=1-2x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{4}{3}\end{matrix}\right.\)
Vậy ......................
d) \(\left|x+5\right|=\left|3x-2\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=3x-2\\x+5=2-3x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{2}\\x=\dfrac{-3}{4}\end{matrix}\right.\)
Vậy ................
