9 : x + 24 : x = 11
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LN
0
NN
1
HK
2
DQ
2
31 tháng 7 2023
a: =>(x-2)^3*[(x-2)^8-1]=0
=>(x-2)(x-3)(x-1)=0
=>\(x\in\left\{2;3;1\right\}\)
b: (x-5)^24=(x-5)^9
=>\(\left(x-5\right)^9\cdot\left[\left(x-5\right)^{15}-1\right]=0\)
=>x-5=0 hoặc x-5=1
=>x=6 hoặc x=5
c: =>(x-5)^4*[(x-5)^21-1]=0
=>x-5=0 hoặc x-5=1
=>x=5 hoặc x=6
31 tháng 7 2023
a) \(\left(x-2\right)^{11}=\left(x-2\right)^3\)
\(\Rightarrow\left(x-2\right)^{11}-\left(x-2\right)^3=0\)
\(\Rightarrow\left(x-2\right)^3\left[\left(x-2\right)^8-1\right]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-2\right)^3=0\\\left(x-2\right)^8-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-2=0\\\left(x-2\right)^8=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x-2=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=3\end{matrix}\right.\)
b) \(\left(x-5\right)^{24}=\left(x-5\right)^9\)
\(\Rightarrow\left(x-5\right)^{24}-\left(x-5\right)^9=0\)
\(\Rightarrow\left(x-5\right)^9\left[\left(x-5\right)^{15}-1\right]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-5\right)^9=0\\\left(x-5\right)^{15}-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-5=0\\\left(x-5\right)^{15}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x-5=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x=6\end{matrix}\right.\)
c) \(\left(x-5\right)^{25}=\left(x-5\right)^4\)
\(\Rightarrow\left(x-5\right)^{25}-\left(x-5\right)^4\)
\(\Rightarrow\left(x-5\right)^4\left[\left(x-5\right)^{21}-1\right]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-5\right)^4=0\\\left(x-5\right)^{21}-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-5=0\\\left(x-5\right)^{21}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x-5=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x=6\end{matrix}\right.\)
3 tháng 9 2021
\(\dfrac{21}{24}\cdot\dfrac{2}{11}:\dfrac{9}{8}=\dfrac{21}{24}\cdot\dfrac{2}{11}\cdot\dfrac{8}{9}=\dfrac{16}{99}\)
\(\dfrac{17}{9}\cdot\dfrac{5}{6}:\dfrac{12}{13}=\dfrac{17}{9}\cdot\dfrac{5}{6}\cdot\dfrac{13}{12}=\dfrac{1105}{648}\)
NN
3
16 tháng 4 2022
2/5 + 11/15 = 17/15
7/8 - 7/9 = 7/72
11/13 x 26/31 = 22/31
16/24 : 4 = 1/6
30 : 6/5 = 25
9/16 : 4 = 9/64
1/2 : 1/3 x 8/15 = 3/2 x 8/15 = 4/5
VP
2
29 tháng 3 2017
a) \(\dfrac{5}{7}-x=-\dfrac{9}{21}\)
\(\Leftrightarrow x=\dfrac{5}{7}-\left(-\dfrac{9}{21}\right)\)
\(\Leftrightarrow x=\dfrac{15}{21}+\dfrac{9}{21}\)
\(\Leftrightarrow x=\dfrac{24}{21}=\dfrac{8}{7}\)
Vậy: \(x=\dfrac{8}{7}\)
b) \(-x-\dfrac{1}{9}=-\dfrac{2}{45}\)
\(\Leftrightarrow x+\dfrac{1}{9}=\dfrac{2}{45}\)
\(\Leftrightarrow x=\dfrac{2}{45}-\dfrac{1}{9}\)
\(\Leftrightarrow x=\dfrac{2}{45}-\dfrac{5}{45}\)
\(\Leftrightarrow x=-\dfrac{3}{45}=-\dfrac{1}{15}\)
Vậy: \(x=-\dfrac{1}{15}\)
c) \(\left|x+\dfrac{5}{6}\right|=\dfrac{11}{24}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{5}{6}=\dfrac{11}{24}\\x+\dfrac{5}{6}=-\dfrac{11}{24}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{24}-\dfrac{5}{6}\\x=-\dfrac{11}{24}-\dfrac{5}{6}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{24}-\dfrac{20}{24}\\x=-\dfrac{11}{24}-\dfrac{20}{24}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{9}{24}=-\dfrac{3}{8}\\x=-\dfrac{31}{24}\end{matrix}\right.\)
Vậy: \(x=-\dfrac{31}{24};-\dfrac{3}{8}\)
_Chúc bạn học tốt_
29 tháng 3 2017
a, 5/7- x=-9/21=-3/7
x = 5/7 - (-3)/7
x=8/7
Vậy x=8/7 là giá trị cần tìm
NN
2
9 tháng 3 2017
\(-x-\frac{1}{9}=\frac{-2}{15}\)
\(-x=\frac{-2}{15}+\frac{1}{9}\)
\(-x=\frac{-6}{45}+\frac{5}{45}\)
\(-x=\frac{-1}{45}\)
\(x=\frac{1}{45}\)
\(\left|x+\frac{5}{6}\right|=\frac{11}{24}\)
\(\orbr{\begin{cases}x+\frac{5}{6}=\frac{11}{24}\\x+\frac{5}{6}=\frac{-11}{24}\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{11}{24}-\frac{5}{6}\\x=\frac{-11}{24}-\frac{5}{6}\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{11}{24}-\frac{20}{24}\\x=\frac{-11}{24}-\frac{20}{24}\end{cases}}\)
\(\orbr{\begin{cases}x=-\frac{3}{8}\\x=-\frac{31}{24}\end{cases}}\)
Vậy \(x=-\frac{3}{8}\) hoặc \(x=-\frac{31}{24}\)
9 tháng 3 2017
- x - 1/9 = -2/15
-x = -2/15 + 1/9
-x = -18/135 + 15/135
-x = ( -18 ) + 15 / 135
-x = -3 / 135 = -1/45
=> x = 1/45
| x + 5/6 | = 11/24
x + 5/6 = 11/24
x = 11/24 - 5/6
x = 11/24 + ( - 5 ) /6
x = 66/144 + - 120 / 144
x = 66 + ( - 120 )/ 144
x = -54 /144 = -3/8
tk k nha( nếu đúng)
hihi mơn m.n nhiều lắm !!!!!!!!!!
X=3 nha