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?




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