Ответ:

[tex] \frac{313}{100} x {}^{11} - \frac{227}{100}x {}^{11} - \frac{87}{100}x {}^{11} = \frac{1}{100} \\ 313x {}^{11} - 227x {}^{11} - 87x {}^{11} = 1 \\ - x {}^{11} = 1 \\ x {}^{11} = - 1 \\ x = - 1 [/tex]