Student Organizer #5: Extending the Idea of Pythagorean Triples
The Proof of the Century!
Print this page to help you complete the activities below:
1. Using a scientific calculator, try to find numbers that satisfy the following equations:
a3 + b3 = c3
a4 + b4 = c4
a5 +b5 = c5
a10 + b10 = c10
2. How does changing the exponents in the above formulas affect your results? Is there an a, b, and c that work for all of the above equations?
3, Does it matter?
4. Do your experiences mean that you have a mathematical proof?
5. How would one go about proving such an idea?