Bài 1:
Theo đề bài ta có: \(x\ge100\)
\(\Rightarrow\left|x-1\right|+\left|x-2\right|+...+\left|x-100\right|=x-1+x-2+...+x-100=6050\)
Ta có: \(x-1+x-2+...+x-100=6050\)
\(\Rightarrow\left(x+x+...+x\right)-\left(1+2+...+100\right)=6050\)
\(\Rightarrow100x-5050=6050\)
\(\Rightarrow100x=11100\)
\(\Rightarrow x=111\)
Vậy \(x=111\)