If the roots of the equation `(c^(2)-ab)x^(3)-2(a^(2)-bc)x+b^(2)-ac=0` | Class 10 Maths | Doubtnut

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

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