when N is more or same than 3 , X^N+Y^N=Z^N is a n even number what would be the value of (X,Y,Z)
2007-01-15 15:31:00 · 5 answers · asked by Curious 2 in Science & Mathematics ➔ Mathematics
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2007-01-15 15:36:51 · update #1
Are you asking if x^n + y^n = z^n can be solved for integer values if n >= 3? If so, the answer is no. I'd give you the proof, but, sorry, it's a little over my head.
2007-01-15 15:34:46 · answer #1 · answered by Anonymous · 1⤊ 0⤋
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2007-01-15 15:35:05 · answer #2 · answered by Jesus 2 · 0⤊ 1⤋
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2007-01-15 15:33:58 · answer #3 · answered by sminer 1 · 0⤊ 0⤋
If I am not mistaken, this is a statement of Fermat's Last Theorem. Or rather, the theorem states that there are no solutions to this equation for n >= 3. The theory has recently been proven, although I don't know if the proof is widely accepted yet.
Fermat claimed to have a proof which was too large to fit in the margin of the page he was annotating, but I believe that, at least in this case, Fermat was full of it.
2007-01-15 15:38:25 · answer #4 · answered by Anonymous · 1⤊ 0⤋
You are speaking of Fermat's Last Conjecture. Andrew Wiles resolved this 350 year old problem in 1995.
He spent seven years on this problem, I'm not going to do it here.
2007-01-15 15:34:26 · answer #5 · answered by John T 6 · 1⤊ 0⤋