Triples
\(3^n + 4^n = 5^n\)
(1) Explain why \(n=2\) is the only (positive integer) solution?
- Algebraically without technology
- Graphically with and w/o tech (min pt, etc)
(2) Ask your Ss to conjecture, then analyze other triples like \(8^n + 15^n = 17^n\)
3ⁿ + 4ⁿ = 5ⁿ (1) Explain why n=2 is the only (positive integer) solution? (a) Algebraically without technology (b) Graphically with and w/o tech (min pt, etc) (2) Ask your Ss to conjecture, then analyze other triples like 8ⁿ + 15ⁿ = 17ⁿ#maths @jamestanton @matharguments
— David Marain (@dmarain) December 6, 2020
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