\alpha, \beta, \gamma are the roots of the equation 8 x^3-42 x^2+63 x-27=0. If \beta< \gamma< \alpha and \beta, \gamma, \alpha are in geometric progression, then the extreme value of the expression \gamma x^2+4 \beta x+\alpha is [TG EAPCET 10 May 2024 Shift 1]

Quadratic Equations

Section: Mathematics

Question : 9 of 19

Marks: +1, -0

α,β,γ are the roots of the equation 8x3−42x2+63x−27=0. If β<γ<α and β,γ,α are in geometric progression, then the extreme value of the expression γx2+4βx+α is

[TG EAPCET 10 May 2024 Shift 1]

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4

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