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(x+1)+(x+2)+................+(x+100)=205550
=>x+1+x+2+................+x+100=205550
=>100x+(1+2+3+...........+100)=205550
=>100x+5050=205550
=>100x=205550-5050
=>100x=200500
=>x=200500:100
=>x=2005
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + .... + ( x + 100 ) = 205550
=> x + 1 + x + 2 + x + 3 + .... + x + 100 = 205550
=> ( x + x + x + .... + x ) + ( 1 + 2 + 3 + .... + 100 ) = 205550
=> 100x + { [ 100 . ( 100 + 1 ) ] : 2 } = 205550
=> 100x + [( 100 . 101 ) : 2 ] = 205550
=> 100x + ( 10100 : 2 ) = 205550
=> 100x + 5050 = 205550
=> 100x = 205550 - 5050
=> 100x = 200500
=> x = 200500 : 100
=> x = 2005
Vậy x = 2005
\((x+1)+(x+2)+(x+3)+...+(x+100)=570\)
\(\Rightarrow(x+x+x+...+x)+(1+2+3+...+100)=570\)
\(\Rightarrow100x+\frac{(1+100)\cdot100}{2}=570\)
\(\Rightarrow100x+5050=570\)
\(\Rightarrow100x=570-5050\)
\(\Rightarrow100x=-4480\)
\(\Rightarrow x=-44,8\)
P/S : Làm bừa :> Hoq chắc
=> (x+1+x+100) x 100 : 2 = 5550
=> (2x+101) x 100 = 5550 x 2 = 11100
=> 2x+101 = 11100 + 100 = 111
=> 2x = 111-101 = 10
=> x = 10 : 2 = 5
k mk nha
=100.x + (1+2+3+....+100 )
=100.x +100.101/2
=>100x +101 + 50 =5750
100x =5750 -5050 =700
=>700 :100 = 7
Vậy X = 7
[x+1]+[x+2]+...+[x+100]=5750
[1+2+...+100].x=5750
Số các số hạng:
(100-1):1+1=100 số
=>có 100 thừa số x
Tổng trên là:
(1+100)x100:2=5050
=>x.100=5750-5050
=>x.100=700
=>x=700:100
=>x=7
Vậy x = 7
mình làm cách cấp 1 nhé
(x+1)+(x+2)+(x+3)+........+(x+100)=5750
=> (x+x+...+x)+(1+2+3+...+100)=5750
=> (x.100)+(1+100).100:2=5750
=> (x.100)+5050=5750
=>x.100=5750-5050
=>x.100=700
=>x =700:100
x = 7
(x+1)+(x+2)+(x+3)+....+(x+100)=5750
100x+(1+2+3+...+100)=5750
100x+5050=5750
100x=5750-5050
100x=700
x=700:100
x=7
<=>(x+x+x..+x)+(1+2+...+100)=5750
=>100x+5050=5750
=>100x=700
=>x=700:100
=>x=7
\(4120-\left(x\div100.3\right)=x\)
\(\Leftrightarrow4120-\left(3x\div100\right)=x\)
\(\Leftrightarrow4120=x+3x\div100\)
\(\Leftrightarrow4120=100x\div100+3x\div100\)
\(\Leftrightarrow4120=103x\div100\)
\(\Leftrightarrow4120\times100=103x\)
\(\Leftrightarrow412000=103x\)
\(\Leftrightarrow412000\div103=x\)
\(\Leftrightarrow x=4000\)