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Rezolvati in N:(x+1)+(x+2)+(x+3)+...+(x+100)=99x+5728

Răspuns :

(x+1)+(x+2)+(x+3)+...+(x+100)=99x+5728

x+1+x+2+x+3+.....+x+100=99x+5728
100x+(1+2+3+...+100)= 99x+5728
100x+100*101/2= 99x+5728
100x+5050=99x+5728
100x-99x= 5728-5050
x=678