What do you get when you raise a quadratic to the power of a quadratic?

There are six possible solutions to each of the following equations. Can you find them all?

1. (n2−5n+5)(n2−11n+30)=1

2. (n2−7n+11)(n2−13n+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.

Age 16 to 18

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