Question

a, ß and r are the zeroes of the
cubic polynomial ax³ +bx²+cx+d,then 1/alpha beta+1/beta gamma+1/gamma alpha​

Answer 1

Fundamental facts:

If α,β,γ are the roots of cubici equation ax

3

+bx

2

+cx+d=0

then α+β+γ=−

a

b

αβ+βγ+γα=

a

c

and αβγ=−

a

d

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