There are six possible solutions to each of the following equations. Can you find them all?
1. $(n^2 - 5n + 5)^{(n^2 - 11n + 30)} = 1$
2. $(n^2 - 7n + 11)^{(n^2 - 13n + 42)} = 1$
Can you find some more Mega Quadratic Equations like these?
With thanks to
Don Steward, whose ideas formed the basis of this problem.