f5數學題一問?

2011-09-01 3:42 am
x+1 is factor of x^99+1
If today Monday,what is day after 6^99 days?

回答 (1)

2011-09-01 3:51 am
✔ 最佳答案
(- 1)⁹⁹ + 1
= - 1 + 1
= 0By factor theorem , x+1 is factor of x⁹⁹ + 1
Set x = 6 , 6 + 1 = 7 is a factor of 6⁹⁹ + 1 .So after 6⁹⁹ + 1 days , it is Monday again ,that means after 6⁹⁹ days is Sunday.


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