\(\left|x+1\right|+\left|x+2\right|+.........+\left|x+101\right|=2024x\)
\(\Leftrightarrow\left|101x+\dfrac{\left[\left(101-1\right):1+1\right]\left(101+1\right)}{2}\right|=2024x\)
\(\Leftrightarrow\left|101x+5151\right|=2024x\)
\(\Leftrightarrow\left|101x+5151\right|-2024x=0\)
\(\Leftrightarrow-1923x+5151=0\)
\(\Leftrightarrow-1923x=5151\)
\(\Leftrightarrow x=\dfrac{5151}{-1923}\)
Vậy ..
đề mình ko ghi lại nhé
\(\Rightarrow\left|101x+\dfrac{\left[\left(101-1\right):1+1\right]\left(101+1\right)}{2}\right|=2024x\)
\(\Rightarrow\left|101x+5151\right|=2024x\)
\(\Rightarrow-1923+5151=0\)
\(\Rightarrow-1923x=5151\Rightarrow x=\dfrac{5151}{-1923}\)
\(\left|x+1\right|+\left|x+2\right|+...+\left|x+101\right|=2014x\)
Ta có:
\(\left|101x+\dfrac{\left[\left(101\right):1+1\right]\left(101+1\right)}{2}\right|=2024x\)
Từ đó \(\Rightarrow\left|101x+5151\right|=2024x\)
\(\Leftrightarrow\left|101x+5151\right|-2024x=0\)
\(\Leftrightarrow-1923x+5151=0\)
\(\Leftrightarrow-1923x=5151\)
\(\Rightarrow x=\dfrac{5151}{-1923}\)