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a) 2 x 53 x 12 + 4 x 6 x 83 - 3 x 8 + 40
= (2 x 12) x 53 + ( 4 x 6 ) x 83 - ( 3 x 8 ) + 40
= 24 x 53 + 24 x 83 - 24 + 40
= 1272 + 1992 - 64
= 3264 - 64 = 3200
=
\(83-5\left(x+2\right)=5^2+2^2.2\)
\(\Rightarrow83-5\left(x+2\right)=25+4.2\)
\(\Rightarrow83-5\left(x+2\right)=25+8=33\)
\(\Rightarrow5\left(x+2\right)=83-33=50\)
\(\Rightarrow x+2=50:5=10\)
\(\Rightarrow x=10-2=8\)
\(2018-100\left(x+11\right)=2^{2019}:2^{2018}+4^2\)
\(\Rightarrow2018-100\left(x+11\right)=2+16=18\)
\(\Rightarrow100\left(x+11\right)=2018-18=2000\)
\(\Rightarrow x+11=2000:100=20\)
\(\Rightarrow x=20-11=9\)
Chúc em học tốt nhé!
1) 3^4.2+2^3.5-7(5^7:5^5)
=3^4.2+2^3.5-7.5^2
=81.2+8.5-7.25
=162+40-175
=202-175=27
2) 5.2^2.2^3-4(5^8:5^6)
=5.4.8-3.5^2
=160-100=60
3) (3^5.3^7):3^10+5.2^4-7^3:7
=3^12:3^10+5.16-7^2
=3^2+80-7^2
=9+80-49=40
4) 15:(3^5:3^4)-2^9:2^7
=15:3-2^2
=5-4=1
5) 5.3^5:(3^8:3^5)-2^3.5
=5.3^5:3^3-8.5
=5.3^2-40
=5.9-40
=45-40=5
1 / 5 x 2 2 + ( x + 3 ) = 5 2
20 + ( x + 3 ) = 25
x + 3 = 5
x = 2
2 / 3 2 x 2 + ( x + 25 ) = 10 2
18 + ( x + 25 ) = 100
x + 25 = 82
x = 57
3 / 2 3 x 5 - ( x + 3 2 ) = 10
40 - ( x + 9 ) = 10
x + 9 = 30
x = 21
4 / 7 2 - 7 x ( 13 - x ) = 14
49 - 7 x ( 13 - x ) = 14
7 x ( 13 - x ) = 35
13 - x = 5
x = 8
5 / 14 x - 2 x 7 2 = 2 x 3 x 7
14 x - 98 = 42
14 x = 140
x = 10
1/ 5 x 22 + ( x + 3 ) = 52
2/ 32 x 2 + ( x + 25 ) = 102
3/ 23 x 5 - ( x + 32 ) = 10
4/ 72 - 7 x ( 13 - x ) = 14
5/ 14x - 2 x 72 = 2 x 3 x 7
1 / 5 x 2 2 + ( x + 3 ) = 5 2
20 + ( x + 3 ) = 25
x + 3 = 5
x = 2
2 / 3 2 x 2 + ( x + 25 ) = 10 2
18 + ( x + 25 ) = 100
x + 25 = 82
x = 57
3 / 2 3 x 5 - ( x + 3 2 ) = 10
40 - ( x + 9 ) = 10
x + 9 = 30
x = 21
4 / 7 2 - 7 x ( 13 - x ) = 14
49 - 7 x ( 13 - x ) = 14
7 x ( 13 - x ) = 35
13 - x = 5
x = 8
5 / 14 x - 2 x 7 2 = 2 x 3 x 7
14 x - 98 = 42
14 x = 140
x = 10
nhé !
a) x(x + 83) = 0
=> \(\orbr{\begin{cases}x=0\\x+83=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x=-83\end{cases}}\)
Vậy ...
d) (x2 + 7)(x - 37) = 0
=> \(\orbr{\begin{cases}x^2+7=0\\x-37=0\end{cases}}\)
=> \(\orbr{\begin{cases}x^2=-7\\x=37\end{cases}}\)
=> x ko có gtri vì x2 \(\ge\)0 mà x2 = -7
hoặc x = 37
Vậy ...
b) (x + 97)(x - 3)x = 0 e) (x + 5)(x - 9)(x2 + 9) = 0
=> x + 97 = 0 => x + 5 = 0
hoặc x - 3 = 0 hoặc x - 9 = 0
hoặc x = 0 hoặc x2 + 9 = 0
=> x = -97 => x = -5
hoặc x = 3 hoặc x = 9
hoặc x = 0 hoặc x ko có gtri
c) (x + 72)(x - 8)(x + 49) = 0 g) (x2 - 25)(x - 3)(x - 5) = 0
=> x + 72 = 0 => x2 - 25 = 0
hoặc x - 8 = 0 hoặc x - 3 = 0
hoặc x + 49 = 0 hoặc x - 5 = 0
=> x = -72 => x = \(\pm\)5
hoặc x = 8 hoặc x = 3
hoặc x = -49 hoặc x = 5
h, tương tự
Bài 1:
a) 12.18 + 14.3 - 255 : 17
= 216 + 42 - 15
= 258 - 15
= 243
b) 15.8 - (83 - 30 + 17) - 144 : 6
= 15.8 - (53 + 17) - 144 : 6
= 15.8 - 70 - 144 : 6
= 120 - 70 - 144 : 6
= 120 - 70 - 24
= 50 - 24
= 26
c) 24.(15 + 30 + 85 - 120) : 10
= 24.(45 + 85 - 120) : 10
= 24.(130 - 120) : 10
= 24.10 : 10
= 24.1
= 24
d) 15 - 25.8 : (100.2)
= 15 - 25.8 : 200
= 15 - 200 : 200
= 15 - 1
= 14
e) 32.5 - 22.7 + 1.5
= 9.5 - 4.7 + 1.5
= 45 - 28 + 5
= 17 + 5
= 22
g) (24.5 - 52.2) : (5.2) - 3
= (24.5 - 25.2) : (5.2) - 3
= (120 - 50) : 10 - 3
= 70 : 10 - 3
= 7 - 3
= 4
h) [(52.23 - 72.2) : 2].6 - 7.25
= [(25.8 - 49.2) : 2].6 - 7.32
= [(200 - 98) : 2].6 - 224
= [102 : 2].6 -224
= 51.6 - 224
= 306 - 224
= 82
i) 27 : 22 + 54 : 53.24 - 3.25
= 25 + 5.24 - 3.25
= 32 + 5.16 - 3.32
= 32 + 80 - 96
= 112 - 96
= 16
k) (37.35) : 310 + 5.24 - 73 : 7
= 312 : 310 + 5.24 - 72
= 32 + 5.24 - 72
= 9 + 5.16 - 49
= 9 + 80 - 49
= 89 - 49
= 40
Bài 2:
a) 547 + 389 + 453 + 211
= (547 + 453) + (389 + 211)
= 1000 + 600
= 1600
b) 125.98.2.8.25
= (125.8).(25.2.98)
= 1000.4900
= 4900000
c) 8466.15 + 170.4233
= 4233.2.15 + 170.4233
= 4233.30 + 170.4233
= 4233.(30 + 170)
= 4233. 200
= 846600
d) (62007 - 62006) : 62006
= 62007 : 62006 - 62006 : 62006
= 6 - 1
= 5
e) (112003 + 112002) : 112002
= 112003 : 112002 + 112002 : 112002
= 11 + 1
= 12
f) 4.24.52 - (33.18 + 33.12)
= 4.24.25 - [33.(18 + 12)]
= 4.25.24 - [27.30]
= 100.24 - 810
= 2400 - 810
= 1590
g) 23.7.53- (52.65 + 52.35)
= 8.7.125 - (25.65 + 25.35)
= 8.125.7 - [25.(65 + 35)]
= 1000.7 - [25.100]
= 7000 - 2500
= 4500
Xin lỗi nha, nhìu quá mk lm ko hết, thông cảm cho mk.
\(3^2.5-2^2.7+83\)
\(=9.5-4.7+83\)
= \(45-28+83\)
= \(100\)