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chuyển đổi lại : (7x - 3) : 12 = 13
=> (7x - 3) = 13 * 12
=> 7x - 3 = 156
=> 7x = 159
=> x= 159/7
[(7x - 31) : 5] * 36 = 7236
=> [(7x - 31) : 5] = 7236 : 36 = 201
=> (7x - 31) : 5 = 201
=> 7x - 31 = 1005
=> 7x = 1036
=> x = 148
1 + 2 + 3 + 4 + 5 +... + 100 + x = 5350
SSH : \(\left(100-1\right):1+1=100\)
=> tổng : \(\frac{\left(1+100\right)\cdot100}{2}=5050\)
=> 5050 + x = 5350
=> x = 5350 - 5050 = 300
80 - 9(x - 4) = 35
=> 9(x - 4) = 80 - 35 = 45
=> x - 4 = 45 : 9
=> x - 4 = 5
=> x = 9
(3x - 21) : 4 + 108 = 114
=> (3x - 21) : 4 = 114 - 108 = 6
=> 3x - 21 = 24
=> 3x = 45
=> x = 15
[(6x - 72) : 2 - 84]*14 = 2814
=> [(6x - 72) : 2 - 84] = 201
=> (6x - 72) : 2 - 84 = 201
=> (6x - 72) : 2 = 285
=> 6x - 72 = 570
=> 6x = 642
=> x = 107
28x + 12x = 80
=> 40x = 80
=> x = 2
249 - 7(1 + x) = 200
=> 7(1 + x) = 49
=> 1 + x = 7
=> x = 6
20 - [(x - 5) * 7 + 4] = 2
=> [(x - 5) * 7 + 4] = 18
=> (x - 5)*7 + 4 = 18
=> (x - 5) * 7 = 14
=> x - 5 = 2
=> x = 7
\(\frac{7x-33}{12}=13\)
\(7x-33=13\cdot12\)
\(7x-33=156\)
\(7x=156+33\)
\(7x=189\)
\(x=\frac{189}{7}=27\)
\(\frac{7x-31}{5}\cdot36=7236\)
\(\frac{7x-31}{5}=\frac{7236}{36}\)
\(\frac{7x-31}{5}=201\)
\(7x-31=201\cdot5\)
\(7x-31=1005\)
\(7x=1005+31\)
\(7x=1036\)
\(x=\frac{1036}{7}=148\)
\(1+2+3+4+5+..+100+x=5350\)
\(\left(1+2+3+4+5+...+100\right)+x=5350\)
Phần 1 + 2 + 3 + 4 + 5 + ... + 100 có số số hạng là :
\(\frac{100-1}{1}+1=100\) ( số hạng )
\(\Rightarrow\frac{\left(100+1\right)\cdot100}{2}+x=5350\)
\(5050+x=5350\)
\(x=5350-5050=300\)
\(80-9\left(x-4\right)=35\)
\(9\left(x-4\right)=80-35\)
\(9\left(x-4\right)=45\)
\(x-4=\frac{45}{9}\)
\(x-4=5\)
\(x=5+4=9\)
\(\frac{3x-21}{4}+108=114\)
\(\frac{3x-21}{4}=114-108\)
\(\frac{3x-21}{4}=6\)
\(3x-21=6\cdot4\)
\(3x-21=24\)
\(3x=24+21\)
\(3x=45\)
\(x=\frac{45}{3}=15\)
\(14\left(\frac{6x-72}{2}-84\right)=2814\)
\(3x-36-84=\frac{2814}{14}\)
\(3x-120=201\)
\(3x=201+120\)
\(3x=321\)
\(x=\frac{321}{3}=107\)
\(28x+12x=80\)
\(x\left(28+12\right)=80\)
\(x\cdot40=80\)
\(x=\frac{80}{40}=2\)
\(249-7\left(1+x\right)=200\)
\(-7\left(1+x\right)=200-249\)
\(-7\left(1+x\right)=-49\)
\(1+x=\frac{-49}{-7}\)
\(1+x=7\)
\(x=7-1=6\)
\(20-7\left(x-5\right)+4=2\)
\(20-7\left(x-5\right)=2-4\)
\(20-7\left(x-5\right)=-2\)
\(-7\left(x-5\right)=-2-20\)
\(-7\left(x-5\right)=-22\)
\(x-5=\frac{-22}{-7}\)
\(x=\frac{22}{7}+5=\frac{57}{7}\)
\(a,\left(x-12\right)\times1000=0\)
\(x-12=0\)
\(x=0+12\)
\(x=12\)
\(b,\left(23-x\right)\times34=34\)
\(23-x=34:34\)
\(23-x=1\)
\(x=23-1\)
\(x=22\)
\(c,\left(x-5\right)\times6=24\)
\(x-5=24:6\)
\(x-5=4\)
\(x=4+5\)
\(x=9\)
\(d,2x+3=15\)
\(2x=15-3\)
\(2x=12\)
\(x=12:2\)
\(x=6\)
\(e,6\left(7x+1\right)=48\)
\(7x+1=48:6\)
\(7x+1=8\)
\(7x=7\)
\(x=1\)
\(g,\left(x-6\right)\left(x-34\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-34=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=6\\x=34\end{cases}}\)
\(h,\left(x-4\right)\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x+2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=-2\end{cases}}\)
Bài làm
a) \(\left(x-12\right).1000=0\)
Vì 1000 > 0 \(\Rightarrow x-12=0\Rightarrow x=12\)
b) \(\left(23-x\right).34=34\)
\(\Rightarrow23-x=1\Rightarrow x=22\)
c) \(\left(x-5\right).6=24\Rightarrow x-5=4\Rightarrow x=9\)
d) \(2x+3=15\Rightarrow2x=12\Rightarrow x=6\)
e) \(6\left(7x+1\right)=48\Rightarrow7x+1=8\)
\(\Rightarrow7x=7\Rightarrow x=1\)
g) \(\left(x-6\right).\left(x-34\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-34=0\end{cases}\Rightarrow\orbr{\begin{cases}x=6\\x=34\end{cases}}}\)
Vậy x= 6 hoặc x= 34
h)\(\left(x-4\right).\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\x=-2\end{cases}}}\)
Vậy x=4 hoặc x= -2
i) \(x\left(x+1\right).\left(x+2\right)=3\)
..........
Cậu có thể tam khảo bài làm trên đây ạ, học tốt nha ^^
a/ 440 + 2 [ 125 - x ] = 546
==> 2 [ 125 - x ] = 546 - 440
==> 2 [ 125 - x ] 106
==> 125 - x = 106 : 2
==> 125 - x = 53 ==> x = 125 - 53 =72
b/ 7x - 33 = 27 : 24
==> 7x - 27 = 27-4 = 23 = 8
==> 7x = 8+ 27
==> 7x = 35 ==> x = 35 : 7 = 5
c/ [ 12x - 43 ] . 83 = 4 . 84
==> [ 12x - 26 ] . 29 = 22 . 212
==> [ 12x - 26 ] . 29 = 214
==> [ 12x - 26 ] = 214 : 29 = 25
==>. 12x = 25 + 26 = 96
==> x = 96 : 12 = 8
d/ 123 - 5. [ x + 4 ] = 38
==> 5. [ x + 4 ] = 123 - 38
==> 5. [ x + 4 ] = 85
==> x + 4 = 85 : 5
==> x + 4 = 17
==> x = 17 - 4 = 13
e/ [ 2600 + 6400 ] - 3.x = 1200
==> 9000 - 3x = 1200
==> 3x = 9000 -1200 = 7800
==> x = 7800 : 3 = 2600
f/ x2 - 72 : 36 = 23
==> x2 - 2 = 23
==> x2 = 23 + 2
==>x2 = 25
==> x2 = 52
==> x = 5
A = \(\frac{1}{1.2.4}+\frac{1}{2.4.5}+...+\frac{1}{8.10.11}+\frac{1}{10.11.13}\)
3 x A = \(\frac{3}{1.2.4}+\frac{3}{2.4.5}+...+\frac{3}{8.10.11}+\frac{3}{10.11.13}\)
3 x A = \(\frac{1}{1.2}-\frac{1}{2.4}+\frac{1}{2.4}-\frac{1}{4.5}+...+\frac{1}{8.10}-\frac{1}{10.11}+\frac{1}{10.11}-\frac{1}{11.13}\)
3 x A = \(\frac{1}{1.2}-\frac{1}{11.13}=\frac{1}{2}-\frac{1}{143}=\frac{143}{286}-\frac{2}{286}=\frac{141}{286}\)
A = \(\frac{141}{286}:3=\frac{141}{286.3}=\frac{47}{286}\)
a. = 0,25 : 0,25 + 0,4 x 2,5 + 0,2 x 5
= 1 + 1 + 1
= 3
b. y x ( 7 + 1 + 12 - 6 - 4) = 45
y x 9 = 45
=> y = 5
Bài 1
a) 3 2/5 - 1/2
= 17/5 - 1/2
= 34/10 - 5/10
= 29/10
b) 4/5 + 1/5 × 3/4
= 4/5 + 3/20
= 16/20 + 3/20
= 19/20
c) 3 1/2 × 1 1/7
= 7/2 × 8/7
= 4
d) 4 1/6 : 2 1/3
= 25/6 : 7/3
= 25/14
Bài 2
a) 3 × 1/2 + 1/4 × 1/3
= 3/2 + 1/12
= 18/12 + 1/12
= 19/12
b) 1 4/5 - 2/3 : 2 1/3
= 9/5 - 2/3 : 7/3
= 9/5 - 2/7
= 63/35 - 10/35
= 53/35
\(\dfrac{4}{7}\times x-\dfrac{2}{3}=\dfrac{1}{5}\)
\(\dfrac{4}{7}\times x=\dfrac{1}{5}+\dfrac{2}{3}\)
\(\dfrac{4}{7}\times x=\dfrac{13}{15}\)
\(x=\dfrac{13}{15}:\dfrac{4}{7}\)
\(x=\dfrac{13}{15}\times\dfrac{7}{4}\)
\(x=\dfrac{91}{60}\)
mk ko ghi đề
\(x-\dfrac{2}{3}=\dfrac{4}{7}:\dfrac{1}{5}\)
\(x-\dfrac{2}{3}=\dfrac{4}{7}.\dfrac{5}{1}\)
\(x-\dfrac{2}{3}=\dfrac{20}{7}\)
\(x=\dfrac{20}{7}+\dfrac{2}{3}\)
\(x=\dfrac{30}{21}+\dfrac{14}{21}\)
\(x=\dfrac{44}{21}\)