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If the roots of the equation (c2−ab)x2−2(a2−bc)x+b2−ac=0 in x are equal, then show that either a = 0 or a3+b3+c3=3abc.

Answer» If the roots of the equation (c2ab)x22(a2bc)x+b2ac=0 in x are equal, then show that either a = 0 or a3+b3+c3=3abc.


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