75:(x-2^3)=25
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a: =25(15+45*3)
=25*150
=3750
b: \(=-10\left(25+75-50\right)=-10\cdot50=-500\)
c: =>3^x-2=27
=>x-2=3
=>x=5
d: =>2x-5=-4
=>2x=1
=>x=1/2
e: =>2(x-1)^2=32
=>(x-1)^2=16
=>x-1=4 hoặc x-1=-4
=>x=-3 hoặc x=5
f: =>25(x+3)=75
=>x+3=3
=>x=0
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(-1).(-1)\(^2\).(-1)\(^3\).....(-1)\(^{100}\)
\(\Rightarrow\)(-1).1.(-1).1.....(-1).1
có tất cả 50 số -1
có tất cả 50 số 1
\(\Rightarrow\) \([\)(-1).50\(]\).\([\)1.50\(]\)
=-50.50=0
![](https://rs.olm.vn/images/avt/0.png?1311)
1) Ta có: \(\left(-\dfrac{2}{3}\right)^2\cdot\dfrac{-9}{8}-25\%\cdot\dfrac{-16}{5}\)
\(=\dfrac{4}{9}\cdot\dfrac{-9}{8}-\dfrac{1}{4}\cdot\dfrac{-16}{5}\)
\(=\dfrac{-1}{2}+\dfrac{4}{5}\)
\(=\dfrac{-5}{10}+\dfrac{8}{10}=\dfrac{3}{10}\)
2) Ta có: \(-1\dfrac{2}{5}\cdot75\%+\dfrac{-7}{5}\cdot25\%\)
\(=\dfrac{-7}{5}\cdot\dfrac{3}{4}+\dfrac{-7}{5}\cdot\dfrac{1}{4}\)
\(=\dfrac{-7}{5}\left(\dfrac{3}{4}+\dfrac{1}{4}\right)=-\dfrac{7}{5}\)
3) Ta có: \(-2\dfrac{3}{7}\cdot\left(-125\%\right)+\dfrac{-17}{7}\cdot25\%\)
\(=\dfrac{-17}{7}\cdot\dfrac{-5}{4}+\dfrac{-17}{7}\cdot\dfrac{1}{4}\)
\(=\dfrac{-17}{7}\cdot\left(\dfrac{-5}{4}+\dfrac{1}{4}\right)\)
\(=\dfrac{17}{7}\)
4) Ta có: \(\left(-2\right)^3\cdot\left(\dfrac{3}{4}\cdot0.25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)
\(=\left(-8\right)\cdot\left(\dfrac{3}{4}\cdot\dfrac{1}{4}\right):\left(\dfrac{9}{4}-\dfrac{7}{6}\right)\)
\(=\left(-8\right)\cdot\dfrac{3}{16}:\dfrac{54-28}{24}\)
\(=\dfrac{-3}{2}\cdot\dfrac{24}{26}\)
\(=\dfrac{-72}{52}=\dfrac{-18}{13}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(x-2018\right)\cdot3=0\)
\(\Leftrightarrow x-2018=0\)
\(\Leftrightarrow x=2018\)
b) \(25\left(x-8\right)=0\)
\(\Leftrightarrow x-8=0\)
\(\Leftrightarrow x=8\)
c) \(25+\left(15+x\right)=75\)
\(\Leftrightarrow15+x=50\)
\(\Leftrightarrow x=35\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)|x-75|+3=15
|x-75|=12
\(\Rightarrow\orbr{\begin{cases}x-75=12\\x-75=-12\end{cases}\Rightarrow}\orbr{\begin{cases}x=87\\x=63\end{cases}}\)
b)\(\left[\left(x^2+25\right)-13\right].3=36\)
\(\left[\left(x^2+25\right)-13\right]=108\)
\(\left(x^2+25\right)=121\)
\(x^2=96\)
x ko TM
a) |x-75|+3=15
|x-75| =15-3
|x-75| = 12
|x| =12+75
|x| = 87
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8 x 75 x 3 + 6 x 25 x 4 - 240
___________________________
15 x 2 x 6 + 18 x 16 x5
= 24 x 75 + 24 x 25 - 240 x 10
_________________________
3 x 5 x 2 x 6 + 3 x 6 x 2 x 8 x5
= 24 x (75 + 24 -10)
_________________
3x5x2x6x ( 1+8)
= 24 x 9 x 10 4
_________= ___
18 x 10 x 9 3
https://hoc24.vn/cau-hoi/8-x-75-x-3-6-x-25-x-4-240-15-x-2-x-6-18-x-16-x5tinh-nhanh.5861050326868
![](https://rs.olm.vn/images/avt/0.png?1311)
8 x 75 x 3 + 6 x 25 x 4 - 240
___________________________
15 x 2 x 6 + 18 x 16 x5
= 24 x 75 + 24 x 25 - 240 x 10
_________________________
3 x 5 x 2 x 6 + 3 x 6 x 2 x 8 x5
= 24 x (75 + 24 -10)
_________________
3x5x2x6x ( 1+8)
= 24 x 9 x 10 4
_________= ___
18 x 10 x 9 3
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1: \(=75\left(27+25-2\right)=75\cdot50=3750\)
2: \(=15\left(23+37\right)+55=15\cdot60+55=955\)
3: \(=36\cdot14+36\cdot17+36\cdot69\)
\(=36\cdot100=3600\)
4: \(=200\cdot\left(32+68\right)=200\cdot100=20000\)
75 : (x - 23 ) = 25
75 : ( x - 8 ) = 25
x - 8 = 75 : 25
x - 8 = 3
x = 3 + 8
x =11
Vậy x = 11
75:(x-2 mũ 3)=25
x-2 mũ 3 = 75 : 25
x-2 mũ 3 =3
x-8=3
x = 3+8
x=11
Vậy x =11
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