If α , β , γ are the roots of the equation x 3 + px + q = 0 , then the value of the determinant α γ β β γ α γ α β is

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If α , β , γ are the roots of the equation x 3 + px + q = 0 , then the value of the determinant ​ α γ β ​ β γ α ​ γ α β ​ ​ is

TestHub · Accepted Answer

Since α , β , γ are the roots of x 3 + p x + q = 0 , ∴ α + β + γ = 0 Applying C 1 ​ → C 1 ​ + C 2 ​ + C 3 ​ , then ​ α + β + γ α + β + γ α + β + γ ​ β γ α ​ γ α β ​ ​ = ​ 0 0 0 ​ β γ α ​ γ α β ​ ​ = 0

Mathematics - Quadratic Equation Question with Solution | TestHub

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