give example where sum of five fifth powers can be expressed as single fifth power i.e.
a^(5)+b^(5)+c^(5)+d^(5)+e^(5)=f^(5)
natural values for a,b,c,d,e & f pls.
2006-07-08 21:03:28 · 8 answers · asked by rajesh bhowmick 2 in Science & Mathematics ➔ Mathematics
after = it is f^(5).
2006-07-08 21:05:07 · update #1
An infinite number of solutions is parametrized by :
(75y5-x5), (x5+25y5), (x5-25y5), (10x3y2), (50xy4); (x5+75y5)
So, for example, if x = 2, y = 1, then we get:
43^5 + 57^5 + 7^5 + 80^5 + 100^5 = 107^5.
2006-07-08 21:11:40 · answer #1 · answered by Anonymous · 7⤊ 1⤋
5
E(K^5)
K=1
E=sigma sign
2006-07-08 22:01:01 · answer #2 · answered by FILO 6 · 0⤊ 0⤋
1^5 + (-1)^5 + 2^5 + (-2)^5 + 3^5 = 3^5
Should I thank you for 10 points?
Oops didn't read 'natural numbers' , but isn't it correct ?
2006-07-08 21:23:00 · answer #3 · answered by nayanmange 4 · 0⤊ 0⤋
Yes
2006-07-08 21:07:41 · answer #4 · answered by Scozbo 5 · 0⤊ 0⤋
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2016-12-08 17:29:33 · answer #5 · answered by kadlec 4 · 0⤊ 0⤋
Do your own homeowrk, heck in the time that it would take me to figure this one out I can have 5 questions already answered. Sorry I was no help.............
2006-07-08 21:08:44 · answer #6 · answered by ? 5 · 0⤊ 0⤋
@nayanmange
"natural values" == ">0"
2006-07-08 21:25:08 · answer #7 · answered by justforjest 2 · 0⤊ 0⤋
there another question like this, but the guy is offering 50k if you can answer it, try his it pays....
2006-07-08 21:11:49 · answer #8 · answered by allaboutthefamily 2 · 0⤊ 0⤋