The real solutions to the equation $$x^8 = 65,536$$ are ____...

Question Analysis
This problem assesses the understanding of even roots and their properties. It requires students to find the real solutions to an equation involving an even root.

Key Concept Explanation
For even roots of positive numbers, there are two real roots that are opposites of each other.

Step-by-step Solution
1. Identify the equation:
2. Determine the principal eighth root: