x+(x+1)+(x+2)+...+(x+2010)=2029099
= (x+0)+(x+1)+(x+2)+...+(x+2010)=2029099
= (x+x+x+...+x)+(0+1+2+3+...+2010)=2029099
\(\downarrow\)
có (2010-0):1+1=2011 số x
0+1+2+3+...+2010=(2010+0).2011:2=2021055
= x2011 + 2021055 = 2029099
= x2011 = 2029099 - 2021055
= x2011 = 8044
= x = 8044 : 2011
= x = 4 \(\in\)N
Vậy x = 4