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1.
= 1.2...8.( 9 + 1 +8)
= 40320.18
= 725760
2.
⇒ (x + x+..+ x)+ (0 + 1 + 2 +...+ 30) =1240
từ 0 đến 30 có tất cả 31 số vậy có 31 số hạng x
áp dụng công thức gauss ta có 0+1+..+n = \(\dfrac{n\left(n+1\right)}{2}\)
⇒ 31x + 465 = 1240
⇒ 31x = 775
⇒ x = 25
Vậy x = 25
Câu 1:
\(1.2.3.....9-1.2.3.....8-1.2.3.....7.8^2.\)
\(=8!\left(9-8-8^2\right).\)
\(=40320.\left(-63\right).\)
\(=-2540160.\)
Vậy..........
Câu 2:
\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+30\right)=1240.\)
\(x+x+1+x+2+x+3+...+x+30=1240.\)
\(\left(x+x+x+...+x\right)+\left(1+2+3+...+30\right)=1240.\)
\(31x+465=1240.\)
\(31x=1240-465.\)
\(31x=775.\)
\(x=\dfrac{775}{31}.\)
\(x=25.\)
Vậy..........
x+[x+1]+[x+2]+...........+[x+30]=1240
[x+x+x+...+x]+(0+1+2+3+...+30)=1240
Từ 0 đến 30 có 31 số lên sẽ có 31 số x
Vậy: x.31+(0+1+2+3+...+30)=1240
x.31+((30+0)x31:2)=1240
x.31+30x31:2=1240
x.31 + 465 =1240
x.31 =1240-465=775
X=775:31
X=25
Vậy x =25
1.2.3........8.9-1.2.3.........8-1.2.3........7.8 2
=1.2.3....8.(9-1-1.2.3....7.8)
=40320.(-40312)
=-1625379840
nhé Nguyễn Trà My
Bài 1:
A,
(100+121+144)÷(169+196)
=365:365=1
B
,1.2.3...7.8.(9-1-8)
=1.2.3...7.8.0=0
C,
3^2.2^4.2^32/11.2^13.2^22-2^26
=3^2.2^36/11.2^35-2^36
=3^2.2^36/2^35-(11-2)
=9.2/9=2
D,
=1152-374-1152+(-65)+374
=(1152-1152)+(-374+374)+(-65)
=0+0+(-65)=-65
E,
=13-(12-11-10+9)+(8-7-6+5)-(4-3-2+1)
=13-0+0-0=13
Bài 2:
A,(19x+50)÷14=25-16
(19x+50)÷14=9
19x+50=126
19x=76
x=4
B,
31x+(1+2+3+...+30)=1240
31x+465=1240
31x=775
×=25
cau b ta co9;(x+x+.....+x)-(1+2+....+100)=4950
100x - 5050 =4950
100x =4950+5050
100x =10000
x=10000 ;100
x=100
rút 1.2.3...2015 ra ta có
1.2.3...2015(2016-1-2015)
1.2.3...2015.0
=0
Bài 1:
Ta thấy : \(\left\{\begin{matrix}\left(x-3\right)^2\ge0\\\left|y+1\right|\ge0\end{matrix}\right.\)
\(\Rightarrow\left(x-3\right)^2+\left|y+1\right|\ge0\)
\(\Rightarrow\left(x-3\right)^2+\left|y+1\right|-3\ge-3\)
\(\Rightarrow A\ge-3\)
Dấu "=" xảy ra khi \(\left\{\begin{matrix}\left(x-3\right)^2=0\\\left|y+1\right|=0\end{matrix}\right.\)\(\Rightarrow\left\{\begin{matrix}x-3=0\\y+1=0\end{matrix}\right.\)\(\Rightarrow\left\{\begin{matrix}x=3\\y=-1\end{matrix}\right.\)
Vậy \(Min_A=-3\) khi \(\left\{\begin{matrix}x=3\\y=-1\end{matrix}\right.\)
Bài 2:
\(S=1\cdot2\cdot3+2\cdot3\cdot4+...+97\cdot98\cdot99\)
\(4S=4\left(1\cdot2\cdot3+2\cdot3\cdot4+...+97\cdot98\cdot99\right)\)
\(4S=1\cdot2\cdot3\cdot4+2\cdot3\cdot4\cdot\left(5-1\right)+...+97\cdot98\cdot99\left(100-96\right)\)
\(4S=1\cdot2\cdot3\cdot4+2\cdot3\cdot4\cdot5-1\cdot2\cdot3\cdot4+...+97\cdot98\cdot99\cdot100-96\cdot97\cdot98\cdot99\)
\(4S=97\cdot98\cdot99\cdot100\Rightarrow S=\frac{97\cdot98\cdot99\cdot100}{4}=23527350\)
1) 20 - (x + 16) = 5
=> x + 16 = 20 - 5 = 15
=> x = 15 - 16 = -1
Vậy x = -1
2) 14.35.5+10.25.7+20.70
= (14.5).35 + (10.7).25 + 20.70
= 70.35 + 70.25 + 20.70
= 70.(35+25+20)
= 70.80
= 5600
3) 22344 + 44688.82
= 22344 + 22344.2.82
= 22344.(1+164)
= 22344.165
= 3686760
Đúng 100%
1) 20 - ( x + 16 ) = 5
x + 16 = 20 - 5
x + 16 = 15
x = -1
tk mk nha ^_^
b) 52x-3 - 2.52 = 52 .3
52x-3 - 2.25 = 25 .3
52x-3 - 50 = 75
52x-3 = 75 + 50
52x-3 = 125
52x-3 = 53
2x-3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
Vậy x = 3
x+(x+1)+(x+2)+...+(x+30)=1240
x+x+1+x+2+...+x+30=1240
(x+x+x+...+x)+(1+2+...+30)=1240
31x+465=1240
31x=1240-456
31x=784
x=784:31
x=784/31
Vậy x=784/31