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Let alpha,beta,gamma be the roots of x^(...

Let `alpha,beta,gamma` be the roots of `x^(3)+2x^(2)-x-3=0`. If the absolute value of the expression `(alpha-1)/(alpha+2)+(beta-1)/(beta+2)+(gamma-1)/(gamma+2)` can be expressed as `(m)/(n)` where `m` and `n` are co-prime the value of `|{:(m,n^(2)),(m-n,m+n):}|` is

A

17

B

27

C

37

D

47

Text Solution

Verified by Experts

The correct Answer is:
C
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