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[" 21.If the roots of the equation "(c^(...

[" 21.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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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)=3"abc" .

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The condition for the roots of the equation,(c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac)=0 to be equal is: