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\(\frac{3}{2}x-\left(\frac{4}{5}-2\text{x}\right)=\frac{13}{10}\)
\(\Leftrightarrow\frac{3}{2}x-\frac{4}{5}+2\text{x}=\frac{13}{10}\)
\(\Leftrightarrow\frac{3}{2}x+2\text{x}=\frac{13}{10}+\frac{4}{5}\)
\(\Leftrightarrow\frac{3\text{x}+4\text{x}}{2}=\frac{13}{10}+\frac{8}{10}\)
\(\Leftrightarrow\frac{7}{2}x=\frac{21}{10}\)
\(\Leftrightarrow x=\frac{21}{10}\div\frac{7}{2}=\frac{21}{10}\cdot\frac{2}{7}=\frac{3}{5}\)
Vậy x = \(\frac{3}{5}\)
Với \(y=13\)\(\Rightarrow|2x-1|+|4-2x|+10=13\)
\(\Rightarrow|2x-1|+|4-2x|=3\)
Vì \(3>0\)\(\Rightarrow2x-1\ge0\)và \(4-2x\ge0\)
Lập bảng giá trị ta có:
2x - 1 | 0 | 1 | 2 | 3 |
x | \(\frac{1}{2}\) | 1 | \(\frac{3}{2}\) | 2 |
4 - 2x | 3 | 2 | 1 | 0 |
x | \(\frac{1}{2}\) | 1 | \(\frac{3}{2}\) | 2 |
Vậy \(x\in\left\{\frac{1}{2};1;\frac{3}{2};2\right\}\)
bài làm mang tính chất hướng dẫn..
\(\left|2x-1\right|+\left|4-2x\right|+10=13\)
\(VT=\left|2x-1\right|+\left|4-2x\right|+10\ge\left|2x-1+4-2x\right|+10=3+10=13=VP\)
Dấu "=" xảy ra \(\Leftrightarrow\)\(\left(2x-1\right)\left(4-2x\right)\ge0\)
TH1 : \(\hept{\begin{cases}2x-1\ge0\\4-2x\ge0\end{cases}\Leftrightarrow\hept{\begin{cases}x\ge\frac{1}{2}\\x\le2\end{cases}\Leftrightarrow}\frac{1}{2}\le}x\le2\)( nhận )
TH2 : \(\hept{\begin{cases}2x-1\le0\\4-2x\le0\end{cases}\Leftrightarrow\hept{\begin{cases}x\le\frac{1}{2}\\x\ge2\end{cases}}}\) ( loại )
Vậy \(\frac{1}{2}\le x\le2\)
...
a) \(\dfrac{12}{25}+\dfrac{5}{13}+\dfrac{13}{25}-\dfrac{18}{13}+\dfrac{3}{5}\)
\(=\left(\dfrac{12}{25}+\dfrac{13}{25}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)+\dfrac{3}{5}\)
\(=1+\left(-1\right)+\dfrac{3}{5}\)
\(=0+\dfrac{3}{5}\)
\(=\dfrac{3}{5}\)
b) \(\dfrac{2}{5}:\left(\dfrac{5}{2}-\dfrac{3}{4}\right)\)
\(=\dfrac{2}{3}:\dfrac{3}{4}\)
\(=\dfrac{8}{21}\)
tích mình nha
a) \(\dfrac{12}{25}+\dfrac{5}{13}+\dfrac{13}{25}-\dfrac{18}{13}+\dfrac{3}{5}\)
= \(\left(\dfrac{12}{25}+\dfrac{13}{25}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)+\dfrac{3}{5}\)
= 1 + (-1) + \(\dfrac{3}{5}\)
= 0 + \(\dfrac{3}{5}\) = \(\dfrac{3}{5}\)
b) \(\dfrac{2}{3}:\left(\dfrac{5}{2}-\dfrac{3}{4}\right)\)
=\(\dfrac{2}{3}:\left(\dfrac{10}{4}-\dfrac{3}{4}\right)\)
=\(\dfrac{2}{3}:\dfrac{7}{4}\)
=\(\dfrac{2}{3}.\dfrac{4}{7}\)
=\(\dfrac{8}{21}\)
Chúc bạn học tốt!!!
\((2x+3)-13\times40=-18\\\Rightarrow (2x+3)-520=-18\\\Rightarrow2x+3=-18+520\\\Rightarrow 2x+3=502\\\Rightarrow2x=502-3\\\Rightarrow2x=499\\\Rightarrow x=\dfrac{499}{2}\\Vậy:x=\dfrac{499}{2}\)
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