Ta có: (x9-1)/(x9+1)=7
=> x9-1=7x9+1
=> 6x9=-2
=> x9=-1/3
=> x=\(\sqrt[9]{\frac{-1}{3}}\)
thay \(\sqrt[9]{\frac{-1}{3}}\) vào \(\frac{x^{18}-1}{x^{18}+1}\)ta được:
\(\frac{\left(\sqrt[9]{\frac{-1}{3}}\right)^{18}-1}{\left(\sqrt[9]{\frac{-1}{3}}\right)^{18}+1}\)=\(\frac{\frac{1}{9}-1}{\frac{1}{9}+1}\)=\(\frac{-4}{5}\)
Vậy \(\frac{x^{18}-1}{x^{18}+1}\)= \(\frac{-4}{5}\)