tìm x
(2,5-3x):\(1\dfrac{2}{3}\)= (\(\dfrac{5}{8}\)+2x) : (\(\dfrac{-8}{17}\))
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9 tháng 10 2017
\(\left(2,5-3x\right):1\dfrac{2}{3}=\left(\dfrac{8}{5}+2x\right):\left(-\dfrac{8}{17}\right)\)
\(\Rightarrow\dfrac{7,5-9x}{5}=\dfrac{-27,2-34x}{8}\)
\(\Rightarrow60-72x=-217,6-272x\)
\(\Rightarrow-200x=277,6\)
\(\Rightarrow x=-\dfrac{347}{250}\)
Vậy \(x=-\dfrac{347}{250}\)
TL
1
13 tháng 8 2019
(2,5-3x):\(1\frac{2}{3}\)=(\(\frac{8}{5}\)+2x):(−\(\frac{8}{17}\))
(2.5- 3x). 0,6 = (\(\frac{8}{5}\)+2x) . \(\frac{-17}{8}\)
1,5 - 1,8x = -3,4 - 4,25x
4,25x - 1,8x = -1,5 - 3,4
2,45x = -4,9
x = -2
Tick và theo dõi mình nha
5 tháng 2 2022
e) ĐK : \(\left\{{}\begin{matrix}1+3x\ne0\\1-3x\ne0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}3x\ne-1\\3x\ne1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ne\dfrac{-1}{3}\\x\ne\dfrac{1}{3}\end{matrix}\right.\)
\(\Leftrightarrow\dfrac{12}{\left(1-3x\right)\left(1+3x\right)}=\dfrac{\left(1-3x\right)^2-\left(1+3x\right)^2}{\left(1+3x\right)\left(1-3x\right)}\)
\(\Leftrightarrow12\left(1+3x\right)\left(1-3x\right)=\left(1-3x\right)\left(1+3x\right)\left(1-3x-1-3x\right)\left(1-3x+1+3x\right)\)
\(\Leftrightarrow12=\left(-6x\right).2\Leftrightarrow6=-6x\)
\(\Leftrightarrow x=-1\left(TM\right)\)
11 tháng 3 2023
f: =>\(\dfrac{14}{3\left(x-4\right)}-\dfrac{x+2}{x-4}=\dfrac{-3}{2\left(x-4\right)}-\dfrac{5}{6}\)
=>28-6(x+2)=-9-5(x-4)
=>28-6x-12=-9-5x+20
=>-6x+16=-5x+11
=>-x=-5
=>x=5
12 tháng 3 2023
d: =>\(\dfrac{12x+1}{11x-4}=\dfrac{20x+17-20x+8}{18}=\dfrac{25}{18}\)
=>25(11x-4)=18(12x+1)
=>275x-100=216x+18
=>59x=118
=>x=2
f: =>\(\dfrac{14}{3\left(x-4\right)}-\dfrac{x+2}{x-4}=\dfrac{-3}{2\left(x-4\right)}-\dfrac{5}{6}\)
=>28-6(x+2)=-9-5(x-4)
=>28-6x-12=-9-5x+20
=>-6x+16=-5x+11
=>-x=-5
=>x=5
H9
HT.Phong (9A5)
CTVHS
11 tháng 7 2023
a) \(\dfrac{-12}{17}< \dfrac{x}{17}< \dfrac{-8}{17}\)
\(\Rightarrow-12< x< -8\)
\(\Rightarrow x\in\left\{-11;-10;-9\right\}\)
b) \(\dfrac{-1}{2}< x< \dfrac{5}{3}\)
\(\Rightarrow\dfrac{-3}{6}< x< \dfrac{10}{6}\)
\(\Rightarrow x\in\left\{\dfrac{-2}{6};\dfrac{-1}{6};0;\dfrac{1}{6};...;\dfrac{7}{6};\dfrac{8}{6};\dfrac{9}{6}\right\}\)
c) \(3,456< x\le7,89\)
\(\Rightarrow x\in\left\{3,456;3,457,3,458;...;7,89\right\}\)
d) \(5,82< \overline{5,8x0}< 8,845\)
\(\Rightarrow x\in\left\{3;4\right\}\)
e) \(32,82< \overline{3x,850}< 35,845\)
\(\Rightarrow x\in\left\{3;4\right\}\)
22 tháng 3 2021
a) ĐKXĐ: \(x\ne3\)
Ta có: \(\dfrac{x^2-x-6}{x-3}=0\)
\(\Leftrightarrow\dfrac{\left(x+2\right)\left(x-3\right)}{x-3}=0\)
Suy ra: x+2=0
hay x=-2(thỏa ĐK)
Vậy: S={-2}
22 tháng 3 2021
d)
ĐKXĐ: \(x\notin\left\{1;3\right\}\)
Ta có: \(\dfrac{x+5}{x-1}=\dfrac{x+1}{x-3}-\dfrac{8}{x^2-4x+3}\)
\(\Leftrightarrow\dfrac{\left(x+5\right)\left(x-3\right)}{\left(x-1\right)\left(x-3\right)}=\dfrac{\left(x+1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\dfrac{8}{\left(x-1\right)\left(x-3\right)}\)
Suy ra: \(x^2-3x+5x-15=x^2-1-8\)
\(\Leftrightarrow2x-15+9=0\)
\(\Leftrightarrow2x-6=0\)
hay x=3(loại)
Vậy: \(S=\varnothing\)
Y
26 tháng 11 2023
\(\dfrac{3}{x-5}-\dfrac{x+1}{x\left(x-5\right)}\left(dkxd:x\ne0,x\ne5\right)\\ =\dfrac{3x-x-1}{x\left(x-5\right)}=\dfrac{2x-1}{x^2-5x}\)
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\(\dfrac{8\left(y+2\right)}{3x^2}.\dfrac{15x^5}{4\left(y+2\right)^2}\left(dkxd:x\ne0,y\ne-2\right)\\ =\dfrac{8}{4}.\dfrac{15x^2.x^3}{3x^2}=10x^3\)
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\(\dfrac{8\left(y-1\right)}{3x^2-3}:\dfrac{4\left(y-1\right)^3}{x^2-2x+1}\left(dkxd:x\ne1,x\ne-1\right)\\ =\dfrac{8\left(y-1\right)}{3\left(x-1\right)\left(x+1\right)}.\dfrac{\left(x-1\right)^2}{4\left(y-1\right)^3}\\ =\dfrac{2\left(x-1\right)}{3\left(x+1\right)\left(y-1\right)^2}\)
9 tháng 3 2021
a) \(\dfrac{x+5}{3\left(x-1\right)}+1=\dfrac{3x+7}{5\left(x-1\right)}\) ( đk: \(x\ne1\))
\(\Leftrightarrow\dfrac{5\left(x+5\right)}{15\left(x-1\right)}+\dfrac{15\left(x-1\right)}{15\left(x-1\right)}=\dfrac{3\left(3x+7\right)}{15\left(x-1\right)}\)
\(\Rightarrow5\left(x+5\right)+15\left(x-1\right)=3\left(3x+7\right)\)
\(\Leftrightarrow5x+25+15x-15=9x+21\)
\(\Leftrightarrow5x+15x-9x=21-25+15\)
\(\Leftrightarrow11x=11\Leftrightarrow x=1\) (loại)
Vậy tập nghiệm: \(S=\varnothing\)
b) \(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}-\dfrac{8}{x^2+2x-3}=1\) (đk: \(x\ne1,x\ne-3\))
\(\Leftrightarrow\dfrac{\left(3x-1\right)\left(x+3\right)}{x^2+2x-3}-\dfrac{\left(2x+5\right)\left(x-1\right)}{x^2+2x-3}-\dfrac{8}{x^2+2x-3}=\dfrac{x^2+2x-3}{x^2+2x-3}\)
\(\Rightarrow\left(3x-1\right)\left(x+3\right)-\left(2x+5\right)\left(x-1\right)-8=x^2+2x-3\)
\(\Leftrightarrow3x^2+9x-x-3-2x^2+2x-5x+5-8=x^2+2x-3\)
\(\Leftrightarrow3x=3\Leftrightarrow x=1\) (loại)
Vậy tập nghiệm: \(S=\varnothing\)
(2,5-3x):1\(\dfrac{2}{3}\)=(\(\dfrac{5}{8}\)+2x):(\(\dfrac{-8}{17}\))
=>(2,5-3x).\(\dfrac{3}{5}\)=(\(\dfrac{5}{8}\)+2x).\(\dfrac{-17}{8}\)
=>\(\dfrac{7,5-9x}{5}\)=\(\dfrac{-10,625+\left(-34\right)x}{8}\)
=>60-72x=-53,125-170x
=>60+53,125=72x-170x
=>113,125=-98x
=>x=\(\dfrac{-905}{784}\)
Vậy x=\(\dfrac{-905}{784}\)