In satellite communication:
Uplink frequencies are generally higher than downlink frequencies to minimize interference.
The frequency band \( 5.925 - 6.425 \, \text{GHz} \) falls within the standard uplink frequency range for satellite communication.
The uplink frequency band used in satellite communication is \( 5.925 - 6.425 \, \text{GHz} \).
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: