perplexus.info :: Numbers : Zero is the last digit of S

Home > Numbers

Zero is the last digit of S (Posted on 2018-06-16)

Let S = a^5 + b^5 + c^5 + d^5, and
a,b,c,d are integers fulfilling a+b+c+d=0
Prove that S must be divisible by 10.

No Solution Yet Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Answer

Comment 3 of 3 |

(In reply to Answer by Math Man)

It’s amazing to visit again n again coming to your blogs the superb effort is here.

______________________________________________________

Posted by Kelsey Johnson on 2018-06-28 06:06:31

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info