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As a,b,c,d are distinct integers
Rearranging RHS as (1)*(-1)*(2)*(-2) = 4
(x-a)(x-b)(x-c)(x-d) = (1)(-1)(2)(-2)
Comparing LHS and RHS
(x-a)=1
a = x-1
(x-b)=-1
b = x+1
(x-c)=2
c = x-2
(x-d)=-2
d = x+2
now in a+b+c+d/r, substitute values of a,b,c,d
x-1+x+1+x-2+x+2/r
= 4x/r
Since x = r
= 4r/r
= 4/1
Hence the ratio is 4:1
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