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The distances of three points A,B,on a straight line from a fixed origin O on the line are the roots of the equation ax^3+3bx^2+3cx+d=0.Find the condition that one of the points A,B,C should bisect the distance between the other two.

The distances of three points A,B,on a straight line from a fixed origin O on the line are the roots of the equation ax^3+3bx^2+3cx+d=0.Find the condition that one of the points A,B,C should bisect the distance between the other two.

Grade:12th pass

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