. (x + 2) + (x + 5) + (x + 8) + ....(x + 77) = 1417 . Tìm x
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Lời giải:
1. $(x+2)-2=0$
$x+2=2$
$x=0$
2.
$(x+3)+1=7$
$x+3=7-1=6$
$x=6-3=3$
3.
$(3x-4)+4=12$
$3x-4+4=12$
$3x=12$
$x=12:3=4$
4.
$(5x+4)-1=13$
$5x+4=13+1=14$
$5x=14-4=10$
$x=10:5=2$
5.
$(4x-8)-3=5$
$4x-8=5+3=8$
$4x=8+8=16$
$x=16:4=4$
6.
$3+(x-5)=7$
$x-5=7-3=4$
$x=4+5=9$
7.
$8-(2x-4)=2$
$2x-4=8-2=6$
$2x=6+4=10$
$x=10:2=5$
8.
$7+(5x+2)=14$
$5x+2=14-7=7$
$5x=7-2=5$
$x=5:5=1$
9.
$5-(3x-11)=1$
$3x-11=5-1=4$
$3x=11+4=15$
$x=15:3=5$
10.
$16-(8x+2)=6$
$8x+2=16-6=10$
$8x=10-2=8$
$x=8:8=1$
![](https://rs.olm.vn/images/avt/0.png?1311)
1/2 x 2/8 x 3/28 x 4/77 x 5/176
\(=\frac{1.2.3.4.5}{2.8.28.77.176}=\frac{1.2.3.4.5}{2.2.4.7.4.11.4.4}=\frac{3.5}{2.7.4.4.11.4}=\frac{15}{9856}\)
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a)\(\frac{x}{5}=\frac{-8}{20}\rightarrow x=\frac{5\cdot\left(-8\right)}{20}=-2\)
Vậy x =-2
b)\(\frac{3}{x-1}=\frac{33}{-77}=\frac{3}{-7}\Rightarrow x-1=-7\Rightarrow x=\left(-7\right)+1=-6\)
Vậy x=-6
c)\(\frac{3}{4}=\frac{x+2}{x+5}\Rightarrow3\cdot\left(x+5\right)=4\cdot\left(x+2\right)\)
\(\Rightarrow3x+15=4x+8\)
\(\Rightarrow3x-4x=8-15\)
\(\Rightarrow\left(-1\right)\cdot x=-7\Rightarrow x=\left(-7\right)\div\left(-1\right)=7\)
Vậy x=7
d)\(\frac{12}{x+3}=\frac{x+3}{3}\Rightarrow\left(x+3\right)\cdot\left(x+3\right)=12\cdot3\)
\(\Rightarrow\left(x+3\right)^2=36\Rightarrow x=\pm6\)
Có 2 TH:
TH1:
x+3=6
x=6-3=3
TH2:
x+3=-6
x=(-6)-3=-9
Vậy x thuộc{3;6
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Bài 1 :
a) = 98765
b) = 300657
c) 610000
Bài 2:
a) X + 77 = 1800
X = 1800 - 77
X = 1723
b) 8950 : x = 5
x = 8950 : 5
x = 1790
c) x = 8765 : 5
x = 1753
a,98765 b,300657 c,610000 Bài 2 : a, 17923 b, 1790 c, 1753
![](https://rs.olm.vn/images/avt/0.png?1311)
A = 2 x 53 x 12 + 4 x 6 x 87 - 3 x 8 x 40
= 24 x 53 + 24 x 87 - 24 x 40
= 24 x ( 53 + 87 - 40 )
= 24 x 100
= 2400
B = 5 x 7 x 77 - 7 x 60 + 49 x 25 - 15 x 42
= 5 x 7 x 77 - 7 x 5 x 12 + 49 x 5 x 5 - 5 x 3 x 42
= 5 x 539 - 84 x 5 + 245 x 5 - 5 x 126
= 5 x ( 539 - 84 + 245 - 126 )
= 5 x 574
= 2870
a=2×53×12+4×6×87-3×8×40
a=24×53+24×87-24×40
a=24×(53+87-40)
a=24×100
a=2400
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 2 x 12 x 31 + 4 x 6 x 42 + 8 x 3 x 27
= 24 x 31 + 24 x 42 + 24 x 27
= 24 x ( 31 + 24 + 27 )
= 24 x 82
= 1968
b, 2 x 53 x 12 + 4 x 6 x 87 - 3 x 8 x 40
= 24 x 53 + 24 x 87 - 24 x 40
= 24 x ( 53 + 87 - 40 )
= 24 x 100
= 2400
c, Tương tự
\(\left(x+2\right)+\left(x+5\right)+\left(x+8\right)+...+\left(x+77\right)=1417\)
\(x+2+x+5+x+8+...+x+77=1417\)
\(x\left(\frac{77-2}{3}+1\right)+\left(77+2\right)\text{x}\frac{\left(77-2\right):3+1}{2}=1417\)
\(26x+79\text{x}\frac{25+1}{2}=1417\)
\(26x+79\text{x}13=1417\)
\(26x+1027=1417\)
\(26x=1417-1027\)
\(26x=390\)
\(x=390:26\)
\(x=15\)