Question

Tìm x:\(\left|x+1\right|+\left|x+2\right|+...+\left|x+100\right|=605x\)

Answer 1

Cũng muốn giúp lắm mà chưa học tới nên thoai say bye

Answer 2

ĐKXĐ: \(x\ge0\)

\(pt\Leftrightarrow x+1+x+2+...+x+100=605x\)

\(\Leftrightarrow100x+\dfrac{\left(100+1\right)\left(\dfrac{100-1}{1}+1\right)}{2}=605x\)

\(\Leftrightarrow505x=5050\Leftrightarrow x=10\left(tm\right)\)