Question

care este rezolvarea la 11+12+...+100=5(1000x-1) ma ajuta cineva?

Answer 1

11+12+...+100=5(1000x-1)
1+2+.....10+11+12+....+100-1-2-....-10=5(1000x-1)
100*101/2-10*11/2=5(1000x-1)
50*101-5*11=5(1000x-1)
10*101-11=1000x-1
1010-10=1000x
1000x=1000
x=1

Answer 2

11+12+...+100=5×(1000x-1)
100×101÷2 - (10×11÷2)=5×(1000x -1)
5050-55=5×(1000x -1)
5050-55= 5000x-5
5000x=5050-55+5
5000x=5000
x= 5000 / 5000
x=1