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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: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectxdog2013-10-12 23:54:12
SolutionSolutionHarry2013-10-12 13:26:36
Hints/Tipsre: Easy way out---hard way inAdy TZIDON2013-10-11 02:14:56
More evidence.Jer2013-10-10 11:44:04
No SubjectBenny2013-10-09 15:12:58
Some ThoughtsSlightly longer shortcutBryan2013-10-09 14:59:57
re: Easy way outSteve Herman2013-10-09 12:36:05
Easy way outJer2013-10-09 11:39:22
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