If q 2 p 3 0, let r be the real cube roots of the real numbers q Show that r r is a real solution of the cubic equation x 3 3px 2q 0, whereas r 2 r and 2 r r form a complex conjugate pair of solutions

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If    q 2 p 3   0, let r be the real cube roots of the real numbers q   Show that r    r is a real solution of the cubic equation x 3   3px   2q   0, whereas r    2 r and 2 r    r form a complex conjugate pair of solutions

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Question: If := q 2 p 3 > 0, let r be the real cube roots of the real numbers q . Show that r+ +

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