Question

Помогите по алгебре

Answer 1

$a-\frac{1}{a}=\frac{5}{6}\ / ()^2\\\\a^2-2a\cdot\frac{1}{a}+\frac{1}{a^2}=\frac{25}{36}\\\\a^2-2+\frac{1}{a^2}=\frac{25}{36}\\\\a^2+\frac{1}{a^2}=\frac{25}{36}+2\\\\a^2+\frac{1}{a^2}=\frac{97}{36}$