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a) \(\left(x-6\right)^3=\left(x-6\right)^2\Leftrightarrow\orbr{\begin{cases}x-6=1\Leftrightarrow x=7\\x-6=0\Leftrightarrow x=6\end{cases}}\)
b) \(\left(7.x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=1000\)
\(\Leftrightarrow\left(7.x-11\right)^3=10^3\)
\(\Leftrightarrow7x-11=10\Leftrightarrow7x=21\Leftrightarrow x=3\)
c) \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\)
\(\Leftrightarrow3+2^{x-1}=24-\left[4^2-3\right]\)
\(\Leftrightarrow3+2^{x-1}=24-13\)
\(\Leftrightarrow3+2^{x-1}=11\)
\(\Leftrightarrow2^{x-1}=8\Leftrightarrow2^{x-1}=2^3\Leftrightarrow x-1=3\Leftrightarrow x=4\)
a)\(3^x.3=243\Leftrightarrow3^x=81\Leftrightarrow3^x=3^4\Leftrightarrow x=4\)
b) \(2^x.16^2=1024\Leftrightarrow2^x.256=1024\Leftrightarrow2^x=4\Leftrightarrow2^x=2^2\Leftrightarrow x=2\)
c) \(64:4^x=16^8\Leftrightarrow4^x=67108864\Leftrightarrow4^x=4^{13}\Leftrightarrow x=13\)
d) \(2^x=16\Leftrightarrow2^x=2^4\Leftrightarrow x=4\)
a) 12 : { 400 : [500 – (125 + 25 . 7)]}
=12 : { 400 : [500 – (125 + 175)]}
=12 : [ 400 : [500 – 300)]
=12 : (400:200)
=12:2=6
b) 5 . 22 – 18 : 3
=5.4-6
=20-6=14
c) 18 : 3 + 182 + 3.(51 : 17)
=5+182+3.3
=187+9=196
d) 25 . 8 – 12.5 + 170 : 17 – 8
=200-60+10-8
=142
e) 2.52+ 3: 710 – 54: 33
=2.25+3:1-54:27
=50+3-2
=51
f) 189 + 73 + 211 + 127
=(189+211)+(73+127)
=400+200=600
g) 375 : {32 – [ 4 + (5. 32– 42)]} – 14 )
=375 : {32 – [ 4 + (160– 42)]} – 14 )
=375 : [32 – ( 4 + 118) – 14 ]
=375:(32-122-14)
=375:-104
=-375/104
h) (52022 + 52021) : 52021
=(52022:52021)+(52021:52021)
=5+1=6
1) Tim x biet :
a) 88 - 3 ( 7 + x ) = 64 b) 131 . x - 941 = 27 . 23 c) [ ( x + 32 ) - 17 ] . 2 = 42 d) [ ( x2 + 54 ) - 32 ] : 2 = 61
3(7+x)=88-64 131 . x - 941=1024 [ ( x + 32 ) - 17 ] =42:2 [ ( x2 + 54 ) - 32 ]=61x2
3(7+x)=24 131.x=1024+941 [ ( x + 32 ) - 17 ] =21 [ ( x2 + 54 ) - 32 ]=122
7+x=24:3 131.x=1965 x+32=21+17 x2 + 54 =122+32
7+x=8 x=1965:131 x+23=38 x2 + 54 =154
x=8-7 x=15 x=38-23 x2 =154-54
x=1 x=15 x2=100
x=10 hoặc x= -10
2) Thực hiện phép tính :
a) 31 . 65 + 31 . 35 - 500
= 31.(65+35)-500
=31.100-500
=3100-500
=2600
b) 4 . 52 - 81 : 3
=4.25-81:3
=100-27
=73
c) 22 . 25 . 11 + 5 . 20 . 27 + 102 . 56
=128.11+2700+5600
=1408+2700+5600
=9708