If α,β,γ are the real roots of the equation a^3 −6a^2 +3a+1=0 then find all possible values of the?expression α^2 β+β^2 γ+γ^2 α


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Question Number 124056 by Snail last updated on 30/Nov/20

$I f α, β, γ a r e t h e r e a l r o o t s o f t h e e q u a t i o n$ $a^{3} - 6 a^{2} + 3 a + 1 = 0 t h e n f i n d a l l p o s s i b l e v a l u e s$ $o f t h e ? e x p r e s s i o n α^{2} β + β^{2} γ + γ^{2} α$
Commented by MJS_new last updated on 30/Nov/20

$- 3 \lor 24$
Commented by Snail last updated on 01/Dec/20

$H o w ? ? . . . s a y m e t h e p r o c e s s$
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