NRICH: Mega Quadratic Equations

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. (n25n+5)(n211n+30)=1

2. (n27n+11)(n213n+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


Math Topics
Algebra & Pre-Algebra, Equations
High School, Educator
9th Grade, 10th Grade, 11th Grade, 12th Grade

What are you looking for?

Organization

NRICH (University of Cambridge)

Website URL

Type of Resource

Challenge

Assigned Categories