x+(x+1)+(x+2)+...+(x+100)=20869
x+(x x 100)+(1+2+3+...+100)=20869
(x x 101)+(100x(100+1)=20869
(x x 101)+(100x101)=20869
(x x 101)+10100=20869
x x 101=20869-10100
x x 101=10769
x=10769:101
x=\(\dfrac{10769}{101}\)
x+(x+1)+(X+2)+....+(x+100) = 20869
X x 101 +( 1+2+...+100) = 20869
X x 101 + 5050 = 20869
X x 101 = 15819
x = 15819 : 101
x= ......
x+(x+1)+(x+2)+....+(x+100)=20869
=> 101x + ( 100-1) nhân 100 : 2 = 20869
=> 101x +4950 = 20869
=> 101x = 20869-4950
=> 101x =15 919
=> x =15 919:101 =15919/101
Vậy x = 15919/101
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