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Given a, b, c are roots of equation x³+3x²-x-3=0
From equation
a+b+c=-b/a =-3
ab+bc+ca=c/a=-1
abc=-d/a=3
1/a+1/b+1/c = (ab+bc+ca) /abc
= - 1/3
Instead of alpha, beta, gama I took a, b, c
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in a cubic polynomial ax^3+bx^2+cx+d=0
the sum of roots =-b/a
the product of roots is -d/a
the sum of product of roots is c/a
so
now see the attachment
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