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a. 45 . ( 91 - x ) = 90
=> 91 - x = 90 : 45
=> 91 - x = 2
=> x = 91 - 2
=> x = 89
b. ( 2x - 6 ) ( 3x - 18 ) = 0
=> 2x - 6 = 0 hoặc 3x - 18 = 0
Với 2x - 6 = 0
=> 2x = 0 + 6
=> 2x = 6
=> x = 6 : 2
=> x = 3
Với 3x - 18 = 0
=> 3x = 0 +1 8
=> 3x = 18
=> x = 18 : 3
=> x = 6
c. 5x + 73.21 = 73.26
=> 5x = 73.26 - 73.21
=> 5x = 73 . ( 26 -21)
=> 5x = 73 . 5
=> 5x = 365
=> x = 365 : 5
=> x = 73
5.x+73.21=73.26
=> 5x=73.26-73.21
=> 5x=73.(26-21)
=> 5x=73.5
=> x=73
5.x+73.21=73.26
5.x+73.21=1898
5.x = 1898-73.21=365
x = 365:5=73
vậy x = 73
k mk nha
a) x- 18 = - 25
x =( -25 ) + 18
x = -7
b) 42 - x = 53 - 60
16 - x = 65
x = 16 - 65
x = -49
1) (3x + 9)(3x - 6) = 0
=> \(\orbr{\begin{cases}3x+9=0\\3x-6=0\end{cases}}\)
=> \(\orbr{\begin{cases}3x=-9\\3x=6\end{cases}}\)
=> \(\orbr{\begin{cases}x=-3\\x=2\end{cases}}\)
Vậy ...
b) (2x + 15) - 25 = 47 - (10 - x)
=> 2x - 10 = 37 + x
=> 2x - x = 37 + 10
=> x = 47
3, tương tự
4) |4 - 3x| = 8
=> \(\orbr{\begin{cases}4-3x=8\\4-3x=-8\end{cases}}\)
=> \(\orbr{\begin{cases}3x=-4\\3x=12\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{4}{3}\\x=4\end{cases}}\)
Vì x là số nguyên nên ...
còn lại tương tự
1. \(6x^3-8=40\\ 6x^3=48\\ x^3=8\\ \Rightarrow x=2\)Vậy x = 2
2. \(4x^5+15=47\\ 4x^5=32\\ x^5=8\\ \Rightarrow x\in\varnothing\left(\text{vì }x\in N\right)\)Vậy x ∈ ∅
3. \(2x^3-4=12\\ 2x^3=16\\ x^3=8\\ \Rightarrow x=2\)Vậy x = 2
4. \(5x^3-5=0\\ 5x^3=5\\ x^3=1\\ \Rightarrow x=1\)Vậy x = 1
5. \(\left(x-5\right)^{2016}=\left(x-5\right)^{2018}\\ \Rightarrow\left[{}\begin{matrix}x-5=0\\x-5=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=6\end{matrix}\right.\)Vậy \(x\in\left\{5;6\right\}\)
6. \(\left(3x-2\right)^{20}=\left(3x-1\right)^{20}\\ \Rightarrow3x-2=3x-1\\ 3x-3x=2-1\\ 0=1\left(\text{vô lí}\right)\)Vậy x ∈ ∅
7. \(\left(3x-1\right)^{10}=\left(3x-1\right)^{20}\\ \left(3x-1\right)^{10}=\left[\left(3x-1\right)^2\right]^{10}\\ \Rightarrow\left(3x-1\right)^2=3x-1\\ \left(3x-1\right)^2-\left(3x-1\right)=0\\ \left(3x-1\right)\left[\left(3x-1\right)-1\right]=0\\ \left(3x-1\right)\left(3x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}3x-1=0\\3x-2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}3x=1\\3x=2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{1}{3}\left(\text{loại vì }x\in N\right)\\x=\frac{2}{3}\left(\text{loại vì }x\in N\right)\end{matrix}\right.\)Vậy x ∈ ∅
8. \(\left(2x-1\right)^{50}=2x-1\\ \left(2x-1\right)^{50}-\left(2x-1\right)=0\\ \left(2x-1\right)\left[\left(2x-1\right)^{49}-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}2x-1=0\\\left(2x-1\right)^{49}=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=1\\2x-1=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\frac{1}{2}\left(\text{loại vì }x\in N\right)\\x=1\left(t/m\right)\end{matrix}\right.\)Vậy x = 1
9. \(\left(\frac{x}{3}-5\right)^{2000}=\left(\frac{x}{3}-5\right)^{2008}\\ \left(\frac{x}{3}-5\right)^{2008}-\left(\frac{x}{3}-5\right)^{2000}=0\\ \left(\frac{x}{3}-5\right)^{2000}\left[\left(\frac{x}{3}-5\right)^8-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}\left(\frac{x}{3}-5\right)^{2000}=0\\\left(\frac{x}{3}-5\right)^8=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}\frac{x}{3}-5=0\\\frac{x}{3}-5=1\\\frac{x}{3}-5=-1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}\frac{x}{3}=5\\\frac{x}{3}=6\\\frac{x}{3}=4\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=5\cdot3=15\\x=6\cdot3=18\\x=4\cdot3=12\end{matrix}\right.\)Vậy \(x\in\left\{15;18;12\right\}\)
\(1.6x^3-8=40\\ \Leftrightarrow6x^3=48\\ \Leftrightarrow x^3=8\Leftrightarrow x^3=2^3=\left(-2\right)^3\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
Vậy \(x\in\left\{2;-2\right\}\)
\(2.4x^3+15=47\) (T nghĩ đề là mũ 3)
\(\Leftrightarrow4x^3=32\Leftrightarrow x^3=8=2^3=\left(-2\right)^3\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
Vậy \(x\in\left\{2;-2\right\}\)
Câu 3, 4 tương tự nhé.
\(a)-129+\left[4^2\cdot5-(-7)\right]:3\)
\(=-129+\left[16\cdot5-(-7)\right]:3\)
\(=-129+\left[16\cdot5+7\right]:3\)
\(=-129+\left[80+7\right]:3\)
\(=-129+\frac{87}{3}\)
\(=-129+29=-100\)
\(b)-(-2014-879)+\left[1136+(-2014)\right]\)
\(=(2014+879)+\left[1136-2014\right]\)
\(=2893+(-878)\)
\(=2893-878=2015\)
\(\text{Câu 2 : Tìm số nguyên x biết :}\)
\(a)(\left|x\right|+3):5-3=12\)
\(\Rightarrow(\left|x\right|+3):5=12+3\)
\(\Rightarrow(\left|x\right|+3):5=15\)
\(\Rightarrow(\left|x\right|+3)=15\cdot5\)
\(\Rightarrow(\left|x\right|+3)=75\)
\(\Rightarrow\left|x\right|=75-3\)
\(\Rightarrow\left|x\right|=72\)
\(\Rightarrow x\in\left\{72;-72\right\}\)
\(b)\frac{86}{2(2x-1)^2-7}+4^2=2\cdot3^2\)
\(\Rightarrow\frac{86}{2(2x-1)^2-7}+16=2\cdot9\)
\(\Rightarrow\frac{86}{2(2x-1)^2-7}+16=18\)
\(\Rightarrow\frac{86}{8x^2-8x-5}=18-16\)
\(\Rightarrow\frac{86}{8x^2-8x-5}=2\)
....
\(\text{Còn nốt bạn tự làm nhé :3}\)
\(-129+\left[4^2\cdot5-\left(-7\right)\right]:3\)
\(=-129+\left[80+7\right]:3\)
\(=-129+29\)
\(=-100\)
(2x-6)(3x-18)=0
=> 2x-6=0 hoặc 3x-18=0
=> x=3 hoặc x=6
47.(x-3)=47
=> x-3=1
=> x=4
a) X=3
b) X=73
c) X=4
Câu 1 bạn gõ thiếu ngoặc nhé