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Bài làm
2,5 : 4x = 0,5 : 0,2
2,5 : 4x = 2,5
0,625x = 2,5
x = 2,5 : 0,625
x = 4
Vậy x = 4
# Học tốt #
a) | 2,5 - x | = 1,3
\(\Rightarrow\orbr{\begin{cases}2,5-x=1,3\\2,5-x=-1,3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2,5-1,3\\x=2,5-\left(-1,3\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1,2\\x=3,8\end{cases}}\)
còn lại tương tự
a/ \(\left|2,5-x\right|=1,3\)
\(\Leftrightarrow\left[{}\begin{matrix}2,5-x=1,3\\2,5-x=-1,3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1,2\\x=3,8\end{matrix}\right.\)
Vậy .
b/ \(1,6-\left|x-0,2\right|=0\)
\(\Leftrightarrow\left|x-0,2\right|=1,6\)
\(\Leftrightarrow\left[{}\begin{matrix}x-0,2=1,6\\x-0,2=-1,6\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1,8\\x=-1,4\end{matrix}\right.\)
Vậy ....
c/ \(\left|x-1,5\right|+\left|2,5-x\right|=0\)
Mà \(\left\{{}\begin{matrix}\left|x-1,5\right|\ge0\\\left|2,5-x\right|\ge0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left|x-1,5\right|=0\\\left|2,5-x\right|=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-1,5=0\\2,5-x=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=1,5\\x=2,5\end{matrix}\right.\) (loại)
Vậy ..........
\(a)\left|2,5-x\right|=1,3\)
\(\Rightarrow\left[{}\begin{matrix}2,5-x=1,3\\2,5-x=-1,3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1,2\\x=3,8\end{matrix}\right.\)
Vậy .....
\(b)1,6-\left|x-0,2\right|=0\)
\(\Rightarrow\left|x-0,2\right|=1,6-0\)
\(\Rightarrow\left|x-0,2\right|=0\)
\(\Rightarrow x-0,2=0\)
\(\Rightarrow x=0,2\)
Vậy .......
\(c)\left|x-1,5\right|+\left|2,5-x\right|=0\)
\(\Rightarrow\left[{}\begin{matrix}x-1,5=0\\2,5-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1,5\\x=2,5\end{matrix}\right.\)
Vậy .....
Chúc bạn học tốt!
|x-1.5|+|2.5-x|=0
=> \(\hept{\begin{cases}x-1,5=0&2,5-x=0&\end{cases}}\Rightarrow\hept{\begin{cases}x=1,5\\x=2,5\end{cases}}\)
\(\left|2,5-x\right|=7,5\)
\(\orbr{\begin{cases}2,5-x=7,5\\2,5-x=-7,5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2,5-7,5\\x=2,5+7,5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-5\\x=10\end{cases}}\)
\(Vayx\in\left\{-5;10\right\}\)
\(1,6-\left|x-0,2\right|=0\)
\(\left|x-0,2\right|=1,6\)
\(\orbr{\begin{cases}x-0,2=1,6\\x-0,2=-1,6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1,6+0,2\\x=-1,6+0,2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1,8\\x=-1,4\end{cases}}\)
\(B=\dfrac{120-\left(-0,5\right)\cdot\left(-40\right)\cdot\left(-5\right)\cdot\left(-0,2\right)\cdot20\cdot0\cdot25}{5+10+15+...+2015}\\ =\dfrac{120-0}{5+10+15+...+2015}\\ =\dfrac{120}{5+10+15+...+2015}\\ ĐặtA=5+10+15+2015\\ A=\left(2015+5\right)\cdot\left[\left(2015-5\right):5+1\right]:2\\ A=407030\\ VậyB=\dfrac{120}{407030}=\dfrac{6}{203515}\)
- \(\dfrac{1}{3}\) + \(\dfrac{1}{4}\)\(x\) = 0.2
\(\dfrac{1}{4}\)\(x\) = \(\dfrac{1}{3}\) + 0
\(x\) = \(\dfrac{1}{3}\) : \(\dfrac{1}{4}\)
\(x\) = \(\dfrac{4}{3}\)
\(\dfrac{0,375-0,3+\dfrac{3}{11}+\dfrac{3}{12}}{-0,53+0,5-\dfrac{5}{11}-\dfrac{5}{12}}+\dfrac{1,5+1-0,75}{2,5+\dfrac{5}{3}-1,25}.\)
\(=\dfrac{\dfrac{3}{8}-\dfrac{3}{10}+\dfrac{3}{11}+\dfrac{3}{12}}{-\dfrac{53}{100}+\dfrac{1}{2}-\dfrac{5}{11}-\dfrac{5}{12}}+\dfrac{\dfrac{3}{2}+1-\dfrac{3}{4}}{\dfrac{5}{2}+\dfrac{5}{3}-\dfrac{5}{4}}.\)
\(=\dfrac{\dfrac{263}{440}}{\dfrac{-1487}{1650}}+\dfrac{\dfrac{7}{4}}{\dfrac{35}{12}}=\dfrac{-3945}{5948}+\dfrac{3}{5}=\dfrac{-1881}{29740}.\)
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