maths

2007-08-04 7:09 am
find all non-negative integer solutions of

x³ + y³ = 2011

plz have a detailed answer,thx!

回答 (1)

2007-08-04 7:33 am
✔ 最佳答案
The equation has no non-negative integral solutions and please find the proof below:

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/Aug07/Crazyeqn1.jpg


2007-08-08 17:21:12 補充:
Anyway, to know 2011 is a prime no. we follow these steps:1) Estimate the square root of 2011, which is about 452) From 2 to 45, try all prime numbers to see if any of them can divide 2011.3) If no one can, then 2011 is a prime number.
參考: My Maths knowledge


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