Cho \(\left|\frac{1}{2} x+\frac{3}{5}\right|=\frac{1}{2}\) . Giá trị của x là
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Lời giải:
Báo sai\(\begin{array}{l} \left| {\frac{1}{2}x + \frac{3}{5}} \right| = \frac{1}{2}\\ \frac{1}{2}x + \frac{3}{5} = \frac{1}{2}\,\,\,\,\,\,\,\,\,\,\,hoặc\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{1}{2}x + \frac{3}{5} = - \frac{1}{2}\\ \frac{1}{2}x\,\,\,\,\,\,\,\,\, = \frac{1}{2} - \frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{1}{2}x\,\,\,\,\,\,\,\,\, = - \frac{1}{2} - \frac{3}{5}\\ \frac{1}{2}x\,\,\,\,\,\,\,\,\, = \frac{{ - 1}}{{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{1}{2}x\,\,\,\,\,\,\,\,\, \,\,\,\,= \frac{{ - 11}}{{10}}\\ x\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{ - 1}}{{10}}:\frac{1}{2}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\, = \frac{{ - 11}}{{10}}:\frac{1}{2}\\ x\,\,\,\,\,\,\,\,\,\, \,\,\,= \frac{{ - 1}}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\, = \frac{{ - 11}}{5} \end{array}\)