If the roots of the equation (c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0 are equal, prove that either a=0 or a^3+b^3+c^3=3abc

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answered Feb 17, 2018 by Vikash Kumar (144,729 points)

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If the roots of the equation (c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0 are equal, prove that either a=0 or a^3+b^3+c^3=3abc

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