x + 3,5 = 13 - 1,3 * 5
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\(a,\Leftrightarrow\left|x+\dfrac{2}{5}\right|=\dfrac{7}{4}\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{2}{5}=\dfrac{7}{4}\left(x\ge-\dfrac{2}{5}\right)\\x+\dfrac{2}{5}=-\dfrac{7}{4}\left(x< -\dfrac{2}{5}\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{27}{20}\left(tm\right)\\x=-\dfrac{43}{20}\left(tm\right)\end{matrix}\right.\)
\(b,\Leftrightarrow\left|x-\dfrac{13}{10}\right|=\dfrac{13}{10}\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{13}{10}=\dfrac{13}{10}\left(x\ge\dfrac{13}{10}\right)\\x-\dfrac{13}{10}=-\dfrac{13}{10}\left(x< \dfrac{13}{10}\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{13}{5}\left(tm\right)\\x=0\left(tm\right)\end{matrix}\right.\)
\(c,\Leftrightarrow\left|\dfrac{3}{4}-\dfrac{1}{2}x\right|=\dfrac{1}{2}\Leftrightarrow\left[{}\begin{matrix}\dfrac{3}{4}-\dfrac{1}{2}x=\dfrac{1}{2}\left(x\le\dfrac{3}{2}\right)\\\dfrac{1}{2}x-\dfrac{3}{4}=\dfrac{1}{2}\left(x>\dfrac{3}{2}\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\left(tm\right)\\x=\dfrac{5}{2}\left(tm\right)\end{matrix}\right.\)
\(d,\Leftrightarrow\left|5-2x\right|=4\Leftrightarrow\left[{}\begin{matrix}5-2x=4\left(x\le\dfrac{5}{2}\right)\\2x-5=4\left(x>\dfrac{5}{2}\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\left(tm\right)\\x=\dfrac{9}{2}\left(tm\right)\end{matrix}\right.\)
\(đ,\Leftrightarrow\left\{{}\begin{matrix}x-3,5=0\\x-1,3=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3,5\\x=1,3\end{matrix}\right.\left(vô.lí\right)\Leftrightarrow x\in\varnothing\)
\(e,\Leftrightarrow\left\{{}\begin{matrix}x-2021=0\\x-2022=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2021\\x=2022\end{matrix}\right.\left(vô.lí\right)\Leftrightarrow x\in\varnothing\)
\(f,\Leftrightarrow\left|x\right|=\dfrac{1}{3}-x\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}-x\left(x\ge0\right)\\x=x-\dfrac{1}{3}\left(x< 0\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{6}\left(tm\right)\\0x=-\dfrac{1}{3}\left(vô.lí\right)\end{matrix}\right.\Leftrightarrow x=\dfrac{1}{6}\)
\(g,\Leftrightarrow\left[{}\begin{matrix}x-2=x\left(x\ge2\right)\\2-x=x\left(x< 2\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}0x=2\left(vô.lí\right)\\x=1\left(tm\right)\end{matrix}\right.\Leftrightarrow x=1\)
a: Ta có: \(A=\left|x-3.5\right|+4.1-x\)
\(=x-3.5+4.1-x\)
=0.6
\(\left|x-3,5\right|+\left|y-1,3\right|=0\)
Ta có:
\(\left\{{}\begin{matrix}\left|x-3,5\right|\ge0\\\left|y-1,3\right|\ge0\end{matrix}\right.\forall xy.\)
\(\Rightarrow\left|x-3,5\right|+\left|y-1,3\right|=0\)
\(\Rightarrow\left\{{}\begin{matrix}x-3,5=0\\y-1,3=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0+3,5\\y=0+1,3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3,5\\y=1,3\end{matrix}\right.\)
Vậy \(\left(x;y\right)\in\left\{3,5;1,3\right\}.\)
Chúc bạn học tốt!
Các bạn giúp mk nhanh vs nhá, chiều mai mk cần. cảm ơn trước
Ta có |x - 3,5| + |y - 1,3| = 0
Mà : |x - 3,5| \(\ge0\forall x\in R\)
|y - 1,3| \(\ge0\forall x\in R\)
Suy ra : |x - 3,5| = |y - 1,3| = 0
\(\Leftrightarrow\orbr{\begin{cases}x-3,5=0\\y-1,3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3,5\\y=1,3\end{cases}}\)
Tìm X:
3,5 x X + 1,54 x 3,5 =15
20 + 12 : ( X - 2019 ) =32
Tính nhanh:
3/7 x 4/13 +3/7 x 9/13 + 5 và 4/7
1)\(3,5\cdot x+1,54\cdot3,5=15\)
\(3,5\left(x+1,54\right)=15\)
\(x+1,54=\frac{15}{3,5}\)
\(x+1,54=\frac{30}{7}\)
\(x=\frac{30}{7}-1,54\)
\(x=\frac{30}{7}-\frac{77}{50}\)
\(x=\frac{961}{350}\)
\(20+\frac{12}{x-2019}=32\)
\(\frac{12}{x-2019}=32-20\)
\(\frac{12}{x-2019}=12\)
\(x-2019=\frac{12}{12}\)
\(x-2019=1\)
\(x=1+2019\)
2)
\(\frac{3}{7}\cdot\frac{4}{13}+\frac{3}{7}\cdot\frac{9}{13}+5\frac{4}{7}\)
\(=\frac{3}{7}\cdot\frac{4}{13}+\frac{3}{7}\cdot\frac{9}{13}+13\cdot\frac{3}{7}\)
\(=\frac{3}{7}\left(\frac{4}{13}+\frac{9}{13}+13\right)\)
\(=\frac{3}{7}\cdot14\)
\(=6\)
3.5*(x-1.54)=15
x+1.54=15;3.5
x+1.54=4.28
x=4.28-1.54
x=2.74
chưa suy nghĩ
x + 3,5 = 13 - 1,3 * 5
x + 3,5 = 13- 6,5
x + 3,5 = 6,5
x =6,5 -3,5
x = 3
x + 3,5 = 13 - 1,3 x 5
x + 3,5 = 13 - 6,5
x + 3,5 = 6,5
x = 6,5 - 3,5
x = 3