If α,β,y be the roots(such that no two of them are equal magnitude and opposite sign)the 3x^3+qx+r=0

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Show that pq = r if two roots of x^3 + p*x^2 + qx + r = 0 be equal and of opposite sign. Show that pq = r if two roots of x^3 + p*x^2 + qx + r = 0 be equal and of opposite sign.
Theory of equations Part_5:Two roots are equal in magnitude and opposite sign. 4K - 60 frames. Theory of equations Part_5:Two roots are equal in magnitude and opposite sign. 4K - 60 frames.
If alpha, beta, gamma be the roots of the equation x^3+px^2+qx+r=0, find the value of.. If alpha, beta, gamma be the roots of the equation x^3+px^2+qx+r=0, find the value of..
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If α and β are the roots of x² + px + q = 0 prove that α³+β³=3pq-p³. If α and β are the roots of x² + px + q = 0 prove that α³+β³=3pq-p³.