Ta có: \(\left|x+\frac{1}{2}\right|\ge0;\left|x+\frac{1}{6}\right|\ge0;...;\left|x+\frac{1}{110}\ge0\right|\)
=> \(\left|x+\frac{1}{2}\right|+\left|x+\frac{1}{6}\right|+...+\left|x+\frac{1}{100}\right|\ge0\)
=> 11x \(\ge\)0 => x\(\ge\)0
=> \(x+\frac{1}{2}>0;x+\frac{1}{6}>0;...;x+\frac{1}{110}>0\)
=> \(\left|x+\frac{1}{2}\right|=x+\frac{1}{2};\left|x+\frac{1}{6}\right|=x+\frac{1}{6};...;\left|x+\frac{1}{110}\right|=x+\frac{1}{110}\)
=> \(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{6}\right)+...+\left(x+\frac{1}{110}\right)=11x\)
=> 10x + \(\left(\frac{1}{2}+\frac{1}{6}+...+\frac{1}{110}\right)=11x\)
=> 10x + \(\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{10.11}\right)\)= 11x
=> 10x + \(\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{10}-\frac{1}{11}\right)\)= 11x
=> 10x + \(\frac{10}{11}\)= 11x
=> x = \(\frac{10}{11}\)
Vậy x = \(\frac{10}{11}\)
Vì có 10 cái x cộng lại. Dốt vừa thôi. Đúng là ngu như 🐷
Cho mình hỏi tại sao mấy bạn tính ra đc là 10x
