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Quintic Expression (Posted on 2013-10-09) Difficulty: 2 of 5
Let a,b,c and d be distinct real numbers such that

a+b+c+d=3
a2+b2+c2+d2=45

Find the value of the expression
       a5                b5                c5                d5
--------------- + --------------- + --------------- + --------------
(a-b)(a-c)(a-d)   (b-a)(b-c)(b-d)   (c-a)(c-b)(c-d)   (d-a)(d-b)(d-c)

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
No Subject Comment 8 of 8 |
Congratulations on finding that identity, Harry, and thanks for saving my sanity and eyesight.  This problem was taking up way too much of my time.
  Posted by xdog on 2013-10-12 23:54:12
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