Let \(a\) be a positive number in the interval \(2<a^2 <3 \) and it satisfy the equation \(\left \{ \dfrac{1}{a} \right \} = \{a^2 \} \).

Find the value of \(a^{12} - 144a^{-1}\).

\[ \] \[ \]

**Notation**: \( \{ \cdot \} \) denotes the fractional part function.

×

Problem Loading...

Note Loading...

Set Loading...