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Pythagorean triples must be three nonzero numbers, and the exponent must be 2. If you are interested in other equations, don't call them the same way; and more
by HelloNurse 3y ago
Pythagorean triples must be three nonzero numbers, and the exponent must be 2.
If you are interested in other equations, don't call them the same way; and more importantly, while generalizing to other exponents and sums of more than two numbers is reasonable, allowing 0 makes the problem trivial because all powers of 0 are 0 and the sum of any number of zeros is 0.
- Someone 3y ago> If you are interested in other equations, don't call them the same way; I didn’t do that. I implicitly alluded to Fermat’s last theorem, expecting readers to pick that up. > because allowing 0 makes the problem trivial because all powers of 0 are 0 The example I gave isn’t trivial. The trivial ones are x³ + 0³ = x³ Also, nitpicking, not all powers of 0 are 0. The convention is that 0⁰ = 1 (https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero)