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7272 : ( 12 x - 91 ) = 2 mũ 3 . 3 mũ 2
=7272 : 72 = 12x - 91
=101+91:12
=16
7272:(12.x - 91)=23.32
\(\Rightarrow\)7272:(12.x - 91)=72
12.x-91=7272:72
12.x-91=101
12.x=101+91
12.x=192
x=192:12
x=16
Vậy x=16
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2323/202+2323/606+2323/1212+2323/2020+2323/3030+2323/4242+2323/5656+2323/7272+2323/9090.=
\(\frac{23\times101}{2\times101}+\frac{23\times101}{6\times101}+\frac{23\times101}{12\times101}+....+\frac{23\times101}{72\times101}+\frac{23\times101}{90\times101} \)
=\(\frac{23}{2}+\frac{23}{6}+..........+\frac{23}{72}+\frac{23}{90}\)
=\(23\times\left(\frac{1}{1\times2}+\frac{1}{2\times3}+.....+\frac{1}{9\times10}\right)\)
=\(23\times\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}_{ }\right)\)
=\(23\left(1-\frac{1}{10}\right)_{ }\)
=\(23\times\frac{9}{10}\)
==\(\frac{207}{10}\)
chúc học giỏi nha bn
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18.\(\left(\dfrac{3737}{4242}+\dfrac{3737}{5656}+\dfrac{3737}{7272}\right)\)
=18.\(\left(\dfrac{37}{42}+\dfrac{37}{56}+\dfrac{37}{72}\right)\)
=18.\(\dfrac{37}{18}\)
=37
`18 . (3737/4242+3737/5656+3737/7272)`
`=18. ( (37.101)/(42.101) + (37.101)/(56.101) + (37.101)/(72.101))`
`=18. (37/42+37/56 +37/72)`
`=18 . 37 . (1/42+1/56+1/72)`
`=18 . 37 . 1/18`
`=37`
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a) \(\left(314-x\right)-42=0\)
\(314-x=42\)
\(x=272\)
vay \(x=272\)
b) \(540+\left(345-x\right)=740\)
\(345-x=200\)
\(x=145\)
vay \(x=145\)
c) \(\left(x-72\right):36=418\)
\(x-72=15048\)
\(x=15120\)
vay \(x=15120\)
d) \(2010\left(x-14\right)=0\)
\(x-14=0\)
\(x=14\)
vay \(x=14\)
e) \(\left(x-2\right)\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x-4=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=4\end{cases}}\)
vay \(\orbr{\begin{cases}x=2\\x=4\end{cases}}\)
f) \(114-\left(x-47\right)=0\)
\(x-47=114\)
\(x=161\)
vay \(x=161\)
g) \(7272:\left(120x-91\right)=12\)
\(120x-91=606\)
\(120x=697\)
\(x=\frac{697}{120}\)
vay \(x=\frac{697}{120}\)
Despacito đã có dấu'' x= '' thì ko cần kết luận là '' vậy''
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\(12x-33=3^2.3^3\)
\(\Rightarrow\) \(12x-33=3^5\)
\(\Rightarrow\) \(12x-33=243\)
\(\Rightarrow\) \(12x=276\)
\(\Rightarrow\) \(x=23\)
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12.x-3=3^2.3^3
12.x-3=9.27
12.x-3=243
x-3=243:12
x-3=20,25
x=20,25+3
x=23,25
\(12x-3=3^2.3^3\)
\(\Leftrightarrow12x-3=3^5\)
\(\Leftrightarrow12x=3^5+3\)
\(\Leftrightarrow12x=246\)
\(\Leftrightarrow x=246:12\Rightarrow x=\frac{246}{12}=\frac{41}{2}\)
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\(4^2x+4^2.10=160\)
\(4^2\left(x+10\right)=160\)
\(16\left(x+10\right)=160\)
\(x+10=10\)
\(x=0\)
vay \(x=0\)
\(\left(12x-4^3\right).8^3=4.8^4\)
\(\left(12x-4^3\right).8^3-4.8^4=0\)
\(\left(12x-64\right).8^3-4.8^4=0\)
\(8^3\left(12x-64-32\right)=0\)
\(12x-96=0\)
\(12x=96\)
\(x=8\)
vay \(x=8\)