初中數學題(1)

2007-06-26 3:01 am
[(2+1)(2^2 +1)(2^4 +1)...(2^256 +1)+1]^(1/256)=2^n -1
求n
更新1:

^是次方的意思 n不等於3

更新2:

我想知你地點計到等於3 答案唔係3

更新3:

to NDS: 你仲係錯 仲話數學勁.. to lkt0111022003: 你答岩左喇 有埋-1 既n係等於log5/log2 不過我都會選你

回答 (5)

2007-06-26 4:06 am
✔ 最佳答案
lhs=[(2+1)(2^2 +1)(2^4 +1)...(2^256 +1)+1]^(1/256)
=(2-1)[(2+1)(2^2 +1)(2^4 +1)...(2^256 +1)+1]^(1/256) (a+b)(a-b)=a^2-b^2
= (2^2-1)[(2^2 +1)(2^4 +1)...(2^256 +1)+1]^(1/256)
=(2^4-1)(2^4 +1)...(2^256 +1)+1]^(1/256)
.........
=(2^512-1+1)^(1/256)
= 2^2

so,n=2

2007-06-26 14:44:46 補充:
應該無後面ge -1
2007-06-26 4:50 am
n = 3
2007-06-26 3:17 am
[(2+1)(2^2 +1)(2^4 +1)...(2^256 +1)+1]^(1/256)=2^n -1

求n

a:3
2007-06-26 3:04 am
=3
其實好易.......
2007-06-26 3:03 am
講問?[^]呢個野係咩意思?

2007-06-25 19:50:45 補充:
[(2 1)(2^2 1)(2^4 1)...(2^256 1) 1]^(1/256)=2^n -1n=3我用心算嫁,選我最佳回答,我起中學拿過不少的獎,已後有數學難題你都可以黎問下我.

2007-06-26 22:03:09 補充:
= =.....話時話你明唔明點解我做錯題?我想問你條題目做乜無神神"........",代表咩意思?[(2 1)(2^2 1)(2^4 1)"..."(2^256 1) 1]^(1/256)=2^n -1 ↑ 你做乜要加"......"?果度係唔係"x"?

2007-06-26 22:04:22 補充:
= =.....話時話你明唔明點解我做錯題?我想問你條題目做乜無神神........,代表咩意思?[(2 1)(2^2 1)(2^4 1)...(2^256 1) 1]^(1/256)=2^n -1..........................↑.................................................你做乜要加"......."?果度係唔係"x";?


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