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2:
1: =>36x+14x=69+81=150
=>50x=150
=>x=3
2: 3^x=81
=>3^x=3^4
=>x=4
3: 3(2x+1)^2=75
=>(2x+1)^2=25
=>2x+1=5 hoặc 2x+1=-5
=>x=-3 hoặc x=2
1:
1: \(\dfrac{13\cdot17^4+4\cdot17^4}{17^3}-\dfrac{14\cdot3^3-14\cdot3^2}{9}\)
\(=\dfrac{17^4\cdot\left(13+4\right)}{17^3}-\dfrac{14\cdot3^2\left(3-1\right)}{9}\)
\(=17\cdot17-14\cdot2\)
=289-28
=261
2:
\(2^3\cdot5^2-\left[131-\left(23-2^3\right)^2\right]\)
\(=8\cdot25-131+\left(-1\right)^2\)
=69+1
=70
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mình giải ý c
5(x+27)=200
(x+27)=200:5
(x+27)=40
x=40-27
x=13
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\(\left(2x-6\right)\left(3x-18\right)=0\)
\(\Leftrightarrow\hept{\begin{cases}2x-6=0\\3x-18=0\end{cases}\Leftrightarrow\hept{\begin{cases}2x=6\\3x=18\end{cases}\Leftrightarrow}\hept{\begin{cases}x=3\\x=6\end{cases}}}\)
vậy phương trình đã cho có tập ngiệm S={3;6}
I, ( 2 . x - 6 ) . ( 3 . x - 18 ) = 0
\(\Leftrightarrow\orbr{\begin{cases}2x-6=0\\3x-18=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=3\\x=6\end{cases}}\)
II, \(\Leftrightarrow23.63+23.36+23\)
\(\Leftrightarrow23.\left(63+36+1\right)\)
\(\Leftrightarrow23.100=2300\)
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a: =>14x+2*(14*13/2)=14
=>14x+14*13=14
=>14x=-12*14
=>x=-12
b: =>3x+(0-1-2-3+1+2+...+25)=25
=>3x+4+...+25=25
=>3x+4+...+24=0
=>3x+(24-4+1)*28/2=0
=>3x+21*28/2=0
=>3x=-21*14
=>x=-7*14=-98
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\(a,x-36:18=12-15\\ \Rightarrow x-2=-3\\ \Rightarrow x=-1\\ b,92-\left(17+x\right)=72\\ \Rightarrow17+x=20\\ \Rightarrow x=3\\ c,720:\left[41-\left(2x+5\right)\right]=40\\ \Rightarrow41-\left(2x+5\right)=18\\ \Rightarrow2x+5=23\\ \Rightarrow2x=18\\ \Rightarrow x=9\\ d,\left(x+2\right)^3-23=41\\ \Rightarrow\left(x+2\right)^3=64\\ \Rightarrow\left(x+2\right)^3=4^3\\ \Rightarrow x+2=4\\ \Rightarrow x=2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x+\left(x+1\right)+\left(x+2\right)+....+13+14=14\Leftrightarrow x+\left(x+1\right)+....+13\Leftrightarrow x=-13\)
\(25+24+23+....+x+\left(x-1\right)+\left(x-2\right)=25\Leftrightarrow24+....+\left(x-2\right)=0\Leftrightarrow x-2=-24\)
\(\Leftrightarrow x=-22\)
92.(x + 1) - 3 = 23 + (72.2) : 14
81.(x + 1) - 3 = 8 + 98 : 14
81.(x + 1) - 3 = 8 + 7
81.(x + 1) - 3 = 15
81.(x + 1) = 15 + 3
81.(x + 1) = 18
x + 1 = 18 : 81
x + 1 = 2/9
x = 2/9 - 1
x = -7/9