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a ) sai đầu bài
b) 15. { 32 : [ 6 - 5 + 5 ( 9: 3 )]}
= 15 . { 32 : [ 6 - 5 + 5 . 3 ]}
= 15 . { 32 : [ 6 - 5 + 15 ] }
= 15 . { 32 : [ 1 +15 ] }
= 15 . { 32 : 16 }
= 15 . 2
= 30
bài 2:
a) 14
b)1024
Bài1:
b)15.{32:[6-5+5(9:3)]}
=15.{32:[6-5+5.3]}
=15.{32:[6-5+15]}
=15.{32:[1+15]}
=15.{32:16}
=15.2
=30
\(\left(2x+1\right)^3=7^3\)(mk nghĩ là 343)
=>2x+1=7
=>x=3
b)\(2^x\left(2^2-1\right)=96\)
\(2^x.3=96\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
c) \(41-\left(2x-5\right)=720:2^3:5\)
\(41-2x+5=18\)
\(-2x=-28\)
=>x=14
câu a bn ghi là 243 nhưng căn bậc 3 của 243 lẻ nên mk thay vào là 343.
b) 123 - 5.(x+4) = 38
=> 5.(x+4) = 123 - 38
=> 5.(x+4) = 85
=> (x+4) = 85 : 5
=> x+4 = 17
=> x = 17 - 4
=> x = 13
c) 2.x - 138 = 23.32
=>2.x - 138 = 736
=>2.x = 736 + 138
=>2.x = 874
=> x = 874 : 2
=> x = 437
d) 70 - 5.(x-3) = 45
=> 5.(x-3) = 70 - 45
=> 5.(x-3) = 25
=> (x-3) = 25 : 5
=> x-3 = 5
=> x = 5 + 3
=> x = 8
a)\(\left(x-1\right)^3=8\)
\(\Leftrightarrow\left(x-1\right)^3=\left(2\right)^3\)
\(\Leftrightarrow x-1=2\)
\(\Leftrightarrow x=3\)
b)\(2^{x+2}-2^x=96\)
\(\Leftrightarrow2^x.2^2-2^x=96\)
\(\Leftrightarrow2^x\left(2^2-1\right)=96\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Leftrightarrow x=5\)
c)\(\left(2x+1\right)^3=343\)
\(\Leftrightarrow\left(2x+1\right)^3=7^3\)
\(\Leftrightarrow\left(2x+1\right)=7\)
\(\Leftrightarrow x=3\)
d)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(\Leftrightarrow720:\left[46-2x\right]=40\)
\(\Leftrightarrow46-2x=18\)
\(\Leftrightarrow2x=28\)
\(\Leftrightarrow x=14\)
Nếu đề là tìm x thì làm như sau :
a) 720:[41-(2x-5)]=23.5
720:[41-(2x-5)=40
41-(2x-5)=720:40
41-(2x-5)=18
2x-5=41-18
2x-5=23
2x=23+5
2x=28
x=28:2
x=14
Vậy x=14.
b) 5x+3(10-x)+x=45
5x+30-3x+x=45
5x-3x+x+30=45
3x+30=45
3x=45-30
3x=15
x=15:3
x=5
Vậy x=5.
c) |4-2x|=6
\(\Rightarrow\orbr{\begin{cases}4-2x=-6\\4-2x=6\end{cases}\Rightarrow\orbr{\begin{cases}2x=10\\2x=-2\end{cases}\Rightarrow}\orbr{\begin{cases}x=5\\x=-1\end{cases}}}\)
d) (-3)x=-27
(-3)x=(-3)3
\(\Rightarrow\)x=3
Vậy x=3
a) 720 : [41 - (2x - 5)] = 23 . 5
720 : [41 - (2x - 5)] = 8 . 5
720 : [41 - (2x - 5)] = 40
[41 - (2x - 5)] = 720 : 40
41 - (2x - 5) = 18
2x - 5 = 41 - 18
2x - 5 = 23
2x = 23 + 5
2x = 28
x = 28 : 2
x = 14
vậy x = 14
a) \(\left(x-1\right)^3=125\)
\(\Leftrightarrow\left(x-1\right)^3=5^3\)
\(\Leftrightarrow x-1=5\)
\(\Leftrightarrow x=5+1\)
\(\Leftrightarrow x=6\)
Vậy \(x=6\)
b) \(2^{x+2}-2^x=96\)
\(\Leftrightarrow\left(2^2-1\right)\cdot2^x=96\)
\(\Leftrightarrow\left(4-1\right)\cdot2^x=96\)
\(\Leftrightarrow3\cdot2^x=96\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
c) \(\left(2x+1\right)^3=343\)
\(\Leftrightarrow\left(2x+1\right)^3=7^3\)
\(\Leftrightarrow2x+1=7\)
\(\Leftrightarrow2x=7-1\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)
d) \(720:\left[41-\left(2x-5\right)\right]=2^3\cdot5\)
\(\Leftrightarrow720:\left[41-\left(2x-5\right)\right]=2^3\cdot5\left(đk:x\ne23\right)\)
\(\Leftrightarrow720:\left(41-2x+5\right)=8\cdot5\)
\(\Leftrightarrow720:\left(46-2x\right)=40\)
\(\Leftrightarrow\dfrac{720}{46-2x}=40\)
\(\Leftrightarrow\dfrac{720}{2\left(23-x\right)}=40\)
\(\Leftrightarrow\dfrac{360}{23-x}=40\)
\(\Leftrightarrow360=40\left(23-x\right)\)
\(\Leftrightarrow9=23-x\)
\(\Leftrightarrow x=23-9\)
\(\Leftrightarrow x=14\left(đk:x\ne23\right)\)
\(\Leftrightarrow x=14\)
Vậy \(x=14\)
e) \(2^x\cdot7=224\)
\(\Leftrightarrow7\cdot2^x=224\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
f) \(\left(3x+5\right)^2=289\)
\(\Leftrightarrow3x+5=\pm17\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+5=17\\3x+5=-17\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{22}{3}\end{matrix}\right.\)
Vậy \(x_1=-\dfrac{22}{3};x_2=4\)
a)\(\left(x-1\right)^3=125\Leftrightarrow\left(x-1\right)^3=5^3\Leftrightarrow x-1=5\Leftrightarrow x=6\)b)\(2^{x+2}-2^x=96\Leftrightarrow2^x.2^2-2^x=96\Leftrightarrow2^x\left(2^2-1\right)=96\Leftrightarrow2^x.3=96\Leftrightarrow2^x=32\Leftrightarrow x=5\)c)\(\left(2x-1\right)^3=343\Leftrightarrow\left(2x-1\right)^3=7^3\Leftrightarrow2x-1=7\Rightarrow2x=8\Rightarrow x=4\)d)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\Leftrightarrow\left[41-\left(2x-5\right)\right]=720:40=18\)
\(\Leftrightarrow41-2x+5=18\Leftrightarrow36-2x=18\Leftrightarrow2x=18\Leftrightarrow x=9\)
e)\(2^x.7=224\Leftrightarrow2^x=224:7=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)
f) \(\left(3x+5\right)^2=289\Leftrightarrow\left(3x+5\right)=17^2\Leftrightarrow3x+5=17\Leftrightarrow3x=12\Leftrightarrow x=4\)
a 720 :[ 41 -(2x -5)]=8 . 5
720 :[41 -(2x-5)]=40
[41- (2x -5)]=720:40
[41-(2x-5)]=18
(2x-5)=41-18
2x-5=23
2x=23+5
2x=28
x=28:2
x=14
b 70-5(x-3)=45
5(x-3)=70-45
5(x-3)=25
x-3=25:5
x-3=5
x=5+3
x=8
c 2.x-138=8.9
2.x-138=72
2.x=138+72
2.x=210
x=210:2
x=105
720 : [ 41 -(2X -50)] = 40
41 - (2X - 50) = 720 : 40
41 - (2X - 50) = 18
2X - 50 = 41 - 18
2X - 50 = 23
2X = 23 + 50
2X = 73
2X = 73 :2
2X = 36,5
70 - 5 . (X - 3) = 50
5 . (X -3 ) = 70 - 50
5 . (X - 3) = 20
X - 3 = 20 : 5
X - 3 = 4
X = 4 + 3
X = 7
2.X - 138 = 23 .5
2.X - 138 = 40
2.X - = 40 + 138
2.X = 178
X = 178 : 2
X = 89