96x=a
(a+2/a):(a-2/a)=11/7
(a²+2)/a:(a²-2)/a=11/7
(a²+2)/a*a/(a²-2)=11/7
(a²+2)/(a²-2)=11/7
11(a²-2)=7(a²+2)
11a²-22=7a²+14
11a²-7a²-14+22
4a²=36
a²=36:4
a²=9
a=-3⇒9^x=-3 нет решения
а=3⇒9^x=3⇒x=1/2
Проверка
(√9+2/√9)/(√9-2/√9)=(3+2/3):(3-2/3)=11/3:7/3=11/3*3/7=11/7
11/7=11/7
Ответ х=1/2