tìm x biết: 7,5 - 3.|5-2x| = -4,5
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3/5-2x/=7,5-(-4,5) \(\Rightarrow\)5-2x=4 hoặc 5-2x=-4 Vậy x=0.5 hoặc 4.5
\(\Rightarrow\)3/5-2x/=7,5+4,5 \(\Rightarrow\) 2x=5-4 hoặc2x=5-(-4) Nhớ tích nha!!!!!
\(\Rightarrow\)3/5-2x/=12 \(\Rightarrow\)2x=1 hoặc 2x=9
\(\Rightarrow\)/5-2x/=12:3 \(\Rightarrow\)x=1:2 hoặc x=9:2
\(\Rightarrow\)/5-2x/=4 \(\Rightarrow\)x=0.5 hoặc x=4.5
\(3\left|5-2x\right|=7,5+4,5\)
\(3\left|5-2x\right|=12\)
\(\left|5-2x\right|=12\div3=4\)
\(\Rightarrow5-2x=4\)hoặc \(5-2x=-4\)
\(5-2x=4\Rightarrow2x=5-4=1\Rightarrow x=\frac{1}{2}\)
\(5-2x=-4\Rightarrow2x=5+4=9\Rightarrow x=\frac{9}{2}=4,5\)
7,5 - 3 |5 - 2x| = -4,5 => -3 |5 - 2x| = -12 => |5 - 2x| = 4
=> 5 - 2x = 4 hoặc -4
=> -2x = -1 hoặc -9
=> x = 0,5 hoặc x = 4,5
\(7,5-3\left|5-2x\right|=-4,5\)
\(\Leftrightarrow3\left|5-2x\right|=7,5-\left[-4,5\right]\)
\(\Leftrightarrow3\left|5-2x\right|=7,5+4,5\)
\(\Leftrightarrow3\left|5-2x\right|=12\)
\(\Leftrightarrow\left|5-2x\right|=4\)
\(\Leftrightarrow\orbr{\begin{cases}5-2x=4\\5-2x=-4\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{9}{2}\end{cases}}\)
\(7,5-3\left|5-2x\right|=-4,5\)
\(\Leftrightarrow3\left|5-2x\right|=7,5-\left(-4,5\right)\)
\(\Leftrightarrow3\left|5-2x\right|=7,5+4,5\)
\(\Leftrightarrow3\left|5-2x\right|=12\)
\(\Leftrightarrow\left|5-2x\right|=12:3\)
\(\Leftrightarrow\orbr{\begin{cases}5-2x=4\\5-2x=-4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=5-4\\2x=5-\left(-4\right)\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=1\\2x=9\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1:2\\x=9:2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{9}{2}\end{cases}}\)
~ Rất vui vì giúp đc bn ~
a: \(\left|-x+\frac25\right|+\frac12=3,5\)
=>\(\left|x-\frac25\right|=3,5-0,5=3\)
=>\(\left[\begin{array}{l}x-\frac25=3\\ x-\frac25=-3\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3+\frac25=\frac{17}{5}\\ x=-3+\frac25=-\frac{13}{5}\end{array}\right.\)
b: \(\frac{21}{5}+3:\left|\frac{x}{4}-\frac23\right|=6\)
=>\(3:\left|\frac14x-\frac23\right|=6-\frac{21}{5}=\frac95\)
=>\(\left|\frac14x-\frac23\right|=3:\frac95=3\cdot\frac59=\frac53\)
=>\(\left[\begin{array}{l}\frac14x-\frac23=\frac53\\ \frac14x-\frac23=-\frac53\end{array}\right.\Rightarrow\left[\begin{array}{l}\frac14x=\frac23+\frac53=\frac73\\ \frac14x=-\frac53+\frac23=-\frac33=-1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac73\cdot4=\frac{28}{3}\\ x=-1\cdot4=-4\end{array}\right.\)
c: 7,5-3|5-2x|=-4,5
=>3|5-2x|=7,5+4,5=12
=>3|2x-5|=12
=>|2x-5|=4
=>\(\left[\begin{array}{l}2x-5=4\\ 2x-5=-4\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=9\\ 2x=1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac92\\ x=\frac12\end{array}\right.\)
d: \(\frac13-\left|\frac54-2x\right|=\frac14\)
=>\(\left|\frac54-2x\right|=\frac13-\frac14=\frac{1}{12}\)
=>\(\left|2x-\frac54\right|=\frac{1}{12}\)
=>\(\left[\begin{array}{l}2x-\frac54=\frac{1}{12}\\ 2x-\frac54=-\frac{1}{12}\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=\frac54+\frac{1}{12}=\frac{16}{12}=\frac43\\ 2x=\frac54-\frac{1}{12}=\frac{15}{12}-\frac{1}{12}=\frac{14}{12}=\frac76\end{array}\right.\)
=>\(\left[\begin{array}{l}x=\frac23\\ x=\frac{7}{12}\end{array}\right.\)
e: \(\frac{21}{5}+3:\left|\frac{x}{4}-\frac23\right|=6\)
=>\(3:\left|\frac14x-\frac23\right|=6-\frac{21}{5}=\frac95\)
=>\(\left|\frac14x-\frac23\right|=3:\frac95=3\cdot\frac59=\frac53\)
=>\(\left[\begin{array}{l}\frac14x-\frac23=\frac53\\ \frac14x-\frac23=-\frac53\end{array}\right.\Rightarrow\left[\begin{array}{l}\frac14x=\frac23+\frac53=\frac73\\ \frac14x=-\frac53+\frac23=-\frac33=-1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac73\cdot4=\frac{28}{3}\\ x=-1\cdot4=-4\end{array}\right.\)
a: Ta có: \(\left|\dfrac{2}{5}-x\right|+\dfrac{1}{2}=3.5\)
\(\Leftrightarrow\left|x-\dfrac{2}{5}\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{2}{5}=3\\x-\dfrac{2}{5}=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{17}{5}\\x=-\dfrac{13}{5}\end{matrix}\right.\)
b: Ta có: \(\dfrac{21}{5}+3:\left|\dfrac{x}{4}-\dfrac{2}{3}\right|=6\)
\(\Leftrightarrow3:\left|\dfrac{1}{4}x-\dfrac{2}{3}\right|=6-\dfrac{21}{5}=\dfrac{9}{5}\)
\(\Leftrightarrow\left|\dfrac{1}{4}x-\dfrac{2}{3}\right|=\dfrac{5}{3}\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{4}x-\dfrac{2}{3}=\dfrac{5}{3}\\\dfrac{1}{4}x-\dfrac{2}{3}=-\dfrac{5}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{4}x=\dfrac{7}{3}\\\dfrac{1}{4}x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{28}{3}\\x=-4\end{matrix}\right.\)
em muốn hỏi là tại sao 3,5 bên trên xuống dưới lại là 3 và -x +2/5 của em xuống dưới lại chuyển thành x-2/5 ạ mong anh giải đáp
=> 3.|5-2x|=7,5-(-4,5)
=>3|5-2x|=7,5+4,5=12
=>|5-2x|=12:3=4
=>5x-2=4 (luôn luôn lớn hơn hoặc bằng 0)
=>5x=4+2=6
=>x=6:5
Vậy x=1,2