Tìm x, biết:
\(\left( {\frac{1}{{12}} + 3\frac{1}{6} - 30,75} \right)x - 8 = \left( {\frac{3}{5} + 0,415 + \frac{1}{{200}}} \right):0,01\)
Ta có:
\(\begin{array}{l}
\frac{1}{{12}} + 3\frac{1}{6} - 30,75 = \frac{1}{{12}} + \frac{{19}}{6} - \frac{{123}}{4}\\
= \frac{1}{{12}} + \frac{{38}}{{12}} - \frac{{369}}{{12}} = \frac{{ - 55}}{2}\\
\left( {\frac{3}{5} + 0,415 + \frac{1}{{200}}} \right):0,01
\end{array}\)
= (0,6 + 0,415 + 0,005) : 0,01
= 1,02 : 0,01 = 102.
Biểu thức trở thành:
\(\begin{array}{l}
\frac{{ - 55}}{2}x - 8 = 102\\
\Leftrightarrow \frac{{ - 55}}{2}x = 110\\
\Leftrightarrow x = 110:\frac{{ - 55}}{2}\\
\Leftrightarrow x = 110.\frac{{ - 2}}{{55}}\\
\Leftrightarrow x = - 4
\end{array}\)
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