|x-1/3|+4/5=|(-3,2)+2/3|
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H
21 tháng 2 2023
` 8/23 . 46/24 =1/3 .x`
`=>8/23 . 23/12 =1/3 . x`
`=> 1/3 . x=2/3`
`=>x=2/3 : 1/3`
`=>x=2/3 . 3`
`=> x= 6/3`
`=>x=2`
`----`
`1/5 : x= 1/5-1/7`
`=>1/5 : x= 7/35 - 5/35`
`=> 1/5 :x= 2/35`
`=>x= 1/5 : 2/35`
`=>x=1/5 . 35/2`
`=>x=7/2`
`----`
`4/9 - (x-1/2)^2 =1/3`
`=> (x-1/2)^2 =4/9-1/3`
`=> (x-1/2)^2 =4/9- 3/9`
`=> (x-1/2)^2 =1/9`
`=> (x-1/2)^2 = (+- 1/3)^2`
`@ TH1`
`x-1/2=1/3`
`=>x=1/3+1/2`
`=>x= 2/6 + 3/6`
``=>x= 5/6`
`@ TH2`
`x-1/2=-1/3`
`=>x=-1/3 +1/2`
`=>x= -2/6 + 3/6`
`=>x=1/6`
`----`
`3,2 . x-(4/5+2/3) : 3 2/3 = 7/10`
`=> 3,2 . x-22/15 : 11/3 = 7/10`
`=> 3,2 . x-22/15 = 7/10 . 11/3`
`=> 3,2 . x-22/15 =77/30`
`=> 3,2 .x= 77/30 + 22/15`
`=> 3,2 .x=121/30`
`=>x= 121/30. 5/16`
`=>x= 121/96`
B
1
VD
20 tháng 3 2022
\(3,2x-\left(\dfrac{4}{5}+\dfrac{2}{3}\right):3\dfrac{2}{3}=\dfrac{7}{20}\\ \Rightarrow\dfrac{16}{5}x-\dfrac{22}{15}:\dfrac{11}{3}=\dfrac{7}{20}\\ \Rightarrow\dfrac{16}{5}x-\dfrac{2}{5}=\dfrac{7}{20}\\ \Rightarrow\dfrac{16}{5}x=\dfrac{3}{4}\\ \Rightarrow x=\dfrac{15}{64}\)
\(\left(4\dfrac{1}{2}-2x\right).1\dfrac{4}{61}=6\dfrac{1}{2}\\ \Rightarrow\left(\dfrac{9}{2}-2x\right).\dfrac{65}{61}=\dfrac{13}{2}\\ \Rightarrow\dfrac{9}{2}-2x=\dfrac{61}{10}\\ \Rightarrow2x= -\dfrac{8}{5}\\ \Rightarrow x=-\dfrac{4}{5}\)
DH
2
MH
6 tháng 2 2022
\(\left|x-\dfrac{1}{3}\right|+\dfrac{4}{5}=\left(-3,2\right)+\dfrac{2}{5}\)
\(\left|x-\dfrac{1}{3}\right|+\dfrac{4}{5}=-\dfrac{14}{5}\)
\(\left|x-\dfrac{1}{3}\right|=-\dfrac{14}{5}-\dfrac{4}{5}=-\dfrac{18}{5}\)
Vì \(\left|x-\dfrac{1}{3}\right|\ge0\) ∀x
⇒Phương trình vô nghiệm
I
6 tháng 2 2022
|x-\(\dfrac{1}{3}\)|+\(\dfrac{4}{5}\)=|(\(\dfrac{-16}{5}\))+\(\dfrac{2}{5}\)|
⇒|x-\(\dfrac{1}{3}\)|+\(\dfrac{4}{5}\)=|\(\dfrac{-14}{5}\)|
⇒|x-\(\dfrac{1}{3}\)|+\(\dfrac{4}{5}\)=\(\dfrac{14}{5}\)
⇒|x-\(\dfrac{1}{3}\)|=\(\dfrac{14}{5}\)-\(\dfrac{4}{5}\)
⇒|x-\(\dfrac{1}{3}\)|=2
⇒x-\(\dfrac{1}{3}\)=2⇒x=\(\dfrac{7}{3}\)
hoặc
⇒x-\(\dfrac{1}{3}\)=-2⇒x=\(\dfrac{-5}{3}\)
Vậy x=\(\dfrac{7}{3}\) hoặc x=\(\dfrac{-5}{3}\)
\(\dfrac{-5}{3}\)
21 tháng 5 2015
=> |x-1/3| +4/5 = 0,7
=> |x-1/3| = -3,8
mà |x-1/3| \(\ge\)0
=> ko tồn tại x
DP
0
DH
25 tháng 10 2019
\(|x-\frac{1}{3}|+\frac{4}{5}=|\left(-3,2\right)+\frac{2}{5}|\)
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\frac{-16}{5}+\frac{2}{5}\right|\)
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left|\frac{-14}{5}\right|\)
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\frac{14}{5}\)
\(\Rightarrow\left|x-\frac{1}{3}\right|=\frac{14}{5}-\frac{4}{5}\)
\(\left|x-\frac{1}{3}\right|=\frac{10}{5}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\frac{1}{3}=\frac{-10}{5}\\x-\frac{1}{3}=\frac{10}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{-5}{3}\\x=\frac{7}{3}\end{matrix}\right.\)
Vậy: \(x\in\left\{\frac{-5}{3};\frac{7}{3}\right\}\)
Chúc bạn học tốt nhé !!!
VT
22 tháng 9 2020
∣ ∣ ∣ x − 1 3 ∣ ∣ ∣ + 4 5 = ∣ ∣ ∣ − 3.2 + 2 5 ∣ ∣ ∣ ⇒ ∣ ∣ ∣ x − 1 3 ∣ ∣ ∣ + 4 5 = ∣ ∣ ∣ − 28 5 ∣ ∣ ∣ ⇒ ∣ ∣ ∣ x − 1 3 ∣ ∣ ∣ + 4 5 = 28 5 ⇒ ∣ ∣ ∣ x − 1 3 ∣ ∣ ∣ = 28 5 − 4 5 = 24 5 ⇒ x − 1 3 = ( ± 24 5 ) ⇒ ⎡ ⎢ ⎢ ⎣ x − 1 3 = 24 5 x − 1 3 = − 24 5 ⇒ ⎡ ⎢ ⎢ ⎣ x = 24 5 + 1 3 x = − 24 5 + 1 3 ⇒ ⎡ ⎢ ⎢ ⎣ x = 77 15 x = − 67 15
28 tháng 3 2018
\(\left|x-\dfrac{1}{3}\right|+\dfrac{4}{5}=\left|\left(-3,2\right)+\dfrac{2}{5}\right|\\ \Rightarrow\left|x-\dfrac{1}{3}\right|+\dfrac{4}{5}=\left|\dfrac{-14}{5}\right|\\ \Rightarrow\left|x-\dfrac{1}{3}\right|+\dfrac{4}{5}=\dfrac{14}{5}\\ \Rightarrow\left|x-\dfrac{1}{3}\right|=2\\ \Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}=-2\\x-\dfrac{1}{3}=2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-5}{3}\\x=\dfrac{7}{3}\end{matrix}\right.\)
AQ
0
14 tháng 7 2019
\(\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left[\left(-3,2\right)+\frac{2}{5}\right]\)
\(\Rightarrow\left|x-\frac{1}{3}\right|+\frac{4}{5}=\left[-\frac{3}{2}+\frac{2}{5}\right]\)
\(\Rightarrow\left|x-\frac{1}{3}\right|+\frac{4}{5}=-\frac{11}{10}\)
\(\Rightarrow\left|x-\frac{1}{3}\right|=-\frac{11}{10}-\frac{4}{5}\)
\(\Rightarrow\left|x-\frac{1}{3}\right|=-\frac{19}{10}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{3}=\frac{19}{10}\\x-\frac{1}{3}=-\frac{19}{10}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{67}{30}\\x=-\frac{47}{30}\end{cases}}\)