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If 1+x+x 2 + x 3 +.......+x n = 0 and A1,A2,A3,..........An be the roots of the following polynomial equation then find 1/(1-A1)+1/(1-A2)+.......+1/(1-An)

If 
1+x+x+ x3+.......+xn = 0
and 
A1,A2,A3,..........An be the roots of the following polynomial equation then find
 
1/(1-A1)+1/(1-A2)+.......+1/(1-An)

Grade:12

1 Answers

noogler
489 Points
6 years ago
1/(1-A1)+1/(1-A2)+..............+1/(1-An)=0
 
cuz exp of (1-x)-1=1+x+x2+..........+xn=0
                  1/1-x=0            as A1,A2,A3..........An are roots of given equation
1/1-A1=0  ,  1/1-A2=0  ,  …........1/1-An=0
 
approve if usefull!!

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