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

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

$${If}\:\alpha,\beta,\gamma\:{are}\:{the}\:{real}\:{roots}\:{of}\:{the}\:{equation}\: \\ $$$${a}^{\mathrm{3}} −\mathrm{6}{a}^{\mathrm{2}} +\mathrm{3}{a}+\mathrm{1}=\mathrm{0}\:\:\:\:\:{then}\:{find}\:{all}\:{possible}\:{values} \\ $$$${of}\:{the}?{expression}\:\alpha^{\mathrm{2}} \beta+\beta^{\mathrm{2}} \gamma+\gamma^{\mathrm{2}} \alpha \\ $$

Commented by MJS_new last updated on 30/Nov/20

−3∨24

$$−\mathrm{3}\vee\mathrm{24} \\ $$

Commented by Snail last updated on 01/Dec/20

How??...say me the process

$${How}??...{say}\:{me}\:{the}\:{process} \\ $$

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