Question

[cong chua tinh nghich]

x+4/5.9+4/9.13+4/13.17+.....+4/41.45=1

Answer 1

[van anh ta]

                      Ta có : 

                \(x+\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+...+\frac{4}{41.45}\)\(=1\)

                \(x+\left(\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+...+\frac{4}{41.45}\right)=1\)

               \(x+\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+...+\frac{1}{41}-\frac{1}{45}\right)=1\)

               \(x+\left(\frac{1}{5}-\frac{1}{45}\right)=1\)

             \(x+\frac{8}{45}=1\)

             \(x=1-\frac{8}{45}=\frac{37}{45}\)

           Ủng hộ mk nha !!! ^_^