If α,β,γ are the roots of ax3+bx2+cx+d=0and∣αβγβγαγαβ∣=0,α=β=γ then find the equation whose roots are α+β−γ,β+γ−α,andγ+α−β˙

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If ,, are the roots of {a}{x}^{{3}}+{b}{x}^{{2}}+{c}{x}+{d}={0

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If $α, β, γ$ are the roots of $a x^{3} + b x^{2} + c x + d = 0 a n d ∣ α β γ β γ α γ α β ∣ = 0, α \neq = β \neq = γ$ then find the equation whose roots are $α + β - γ, β + γ - α, a n d γ + α - β ˙$

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α, β, γ

are the roots of

a x^{3} + b x^{2} + c x + d = 0 a n d ∣ α β γ β γ α γ α β ∣ = 0, α \neq = β \neq = γ

then find the equation whose roots are

α + β - γ, β + γ - α, a n d γ + α - β ˙

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Question Text

α, β, γ

are the roots of

a x^{3} + b x^{2} + c x + d = 0 a n d ∣ α β γ β γ α γ α β ∣ = 0, α \neq = β \neq = γ

then find the equation whose roots are

α + β - γ, β + γ - α, a n d γ + α - β ˙