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a, (x+2)+(x+5)+(x+8)+(x+11)+(x+14)=75
5x + (2 + 5 + 8 + 11 + 14) = 75
5x + 40 = 75
5x = 35
x = 7
Các câu dưới tương tự.
a)(x+2)+(x+5)+(x+8)+(x+11)+(x+14)=75
x+x+x+x+x+2+5+8+11+14=75
5xx+40=75
5xx=75-40
5xx=35
x=35:5
x=7
b)(x+1)+(x+3)+(x+5)+....+(x+101)=5400
Nhận thấy dãy trên có (101-1):2+1=51(số) nên có 51 x
Tách như câu a
51xx+(1+3+5+...+101)=5400
51xx+[(101+1)x51:2]=5400
51xx+2601=5400
51xx=5400-2601
51xx=2799
x=2799:51
x=933/17
c)(x+1)+(x+4)+(x+7)+....+(x+94)=1840
Phần c này cũng giống phần b,em dựa vào mà làm nhé,giống,khác mỗi số thôi
Chúc em họ tốt^^
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a). 173-x=94
=> 173-94=x
=> x=79
c) 53-7x=5^7:5^5
=> 53-7x=5^2
=> 53-7x=25
=> -7x=25-53
=> -7x=-28
=> -x=-4
=> x=4
Còn câu b mình không hiểu
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a) (x - 12).105= 0 b) 47. (27 - x) = 94 c) 2x + 69.2 = 69.5
--> x - 12 = 0: 105 --> 27 - x = 94 : 47 = 2 --> 2x + 138 = 345
--> x - 12 = 0 --> 27 - x = 2 --> 2x = 345 - 138
--> x = 0 + 12 --> x = 27 - 2 --> 2x = 207
--> x = 12 --> x = 25 --> x = 207 : 2
vậy x = 12 vậy x bằng 25 --> x = 103,5
vậy x = 103,5
d) (x - 7).(2x - 8)= 0 e) (x + 1)+(x + 2)+...+(x + 10)= 165
--> x - 7 = 0 hoặc 2x - 8 = 0 ( x + x + .... + x ) + ( 1 + 2 + 3 + ..... + 10 ) = 165
--> x = 0 + 7 hoặc 2x = 0 + 8 10x + 52 = 165
--> x = 7 hoặc x = 8 : 2 10x = 165 - 52
--> x = 7 hoặc x = 4 10x = 113
vậy x = 7 hoặc x = 4 x = 113 : 10
x = 11,3
vậy x = 11,3
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\(\frac{x+5}{95}+\frac{x+6}{94}+\frac{x+7}{93}+\frac{x+8}{92}+\frac{x+9}{91}=-5\)
\(\left(\frac{x+5}{95}+1\right)+\left(\frac{x+6}{94}+1\right)+\left(\frac{x+7}{93}+1\right)+\left(\frac{x+8}{92}+1\right)+\left(\frac{x+9}{91}+1\right)=-5+5=0\)
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\(\frac{x+1}{99}+\frac{x+3}{97}+\frac{x+5}{95}=\frac{x+2}{98}+\frac{x+4}{96}+\frac{x+6}{94}\)
\(\left(\frac{x+1}{99}+1\right)+\left(\frac{x+3}{97}+1\right)+\left(\frac{x+5}{95}+1\right)=\left(\frac{x+2}{98}+1\right)+\left(\frac{x+4}{96}+1\right)+\left(\frac{x+6}{94}+1\right)\)
\(\left(\frac{x+1}{99}+\frac{99}{99}\right)+\left(\frac{x+3}{97}+\frac{97}{97}\right)+\left(\frac{x+5}{95}+\frac{95}{95}\right)=\left(\frac{x+2}{98}+\frac{98}{98}\right)+\left(\frac{x+4}{96}+\frac{96}{96}\right)+\left(\frac{\left(x+6\right)}{94}+\frac{94}{94}\right)\)
\(\frac{x+100}{99}+\frac{x+100}{97}+\frac{x+100}{95}=\frac{x+100}{92}+\frac{x+100}{94}+\frac{x+100}{96}\)
\(\frac{x+100}{99}+\frac{x+100}{97}+\frac{x+100}{95}-\frac{x+100}{92}-\frac{x+100}{94}-\frac{x+100}{96}=0\)
\(\left(x+100\right).\left(\frac{1}{99}+\frac{1}{97}+\frac{1}{95}-\frac{1}{92}-\frac{1}{94}-\frac{1}{96}\right)=0\)
\(Mà\) \(\frac{1}{99}+\frac{1}{97}+\frac{1}{95}-\frac{1}{92}-\frac{1}{94}-\frac{1}{96}\ne0\)
Nên x+ 100 = 0
x = 0 - 100 = -100
Vậy x= -100
cộng 1 vào mỗi tỉ số,ta được:
\(\left(\frac{x+1}{99}+1\right)+\left(\frac{x+3}{97}+1\right)+\left(\frac{x+5}{95}+1\right)=\left(\frac{x+2}{98}+1\right)+\left(\frac{x+4}{96}+1\right)+\left(\frac{x+6}{94}+1\right)\)\(\Rightarrow\frac{x+1+99}{99}+\frac{x+3+97}{97}+\frac{x+5+95}{95}=\frac{x+2+98}{98}+\frac{x+4+96}{96}+\frac{x+6+94}{94}\)
\(\Rightarrow\frac{x+100}{99}+\frac{x+100}{97}+\frac{x+100}{95}=\frac{x+100}{98}+\frac{x+100}{96}+\frac{x+100}{94}\)
\(\Rightarrow\frac{x+100}{99}+\frac{x+100}{97}+\frac{x+100}{95}-\frac{x+100}{98}-\frac{x+100}{96}-\frac{x+100}{94}=0\)
\(\Rightarrow\left(x+100\right)\left(\frac{1}{99}+\frac{1}{97}+\frac{1}{95}-\frac{1}{98}-\frac{1}{96}-\frac{1}{94}\right)\)
Vì \(\frac{1}{99}+\frac{1}{97}+\frac{1}{95}-\frac{1}{98}-\frac{1}{96}-\frac{1}{94}\ne0\)
=>x+100=0
=>x=-100
Vậy x=-100
(x+1)+(x+4)+(x+7)+...+(x+94)=1840
=>(x+x+x+....+x)+(1+2+3+...+94)=1840
32 S/H x
=>32x+1520=1840
=>32x =1840-1520 = 320
=> x= 320:32 =10
Vậy x=10. bấm đúng cho mk nhé!