how to complete the square of

x2 - [8/11]x        take 1/2 of 8/11   = 8/22  = 4/11........square it  = 16/121.......add it and then subtract it........so we have

x^2 - [8/11]x + 16/121  - 16/121      factor the first three terms

(x - 4/11)^2  - 16/121