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If a, b, c are the sides of a scalene tr...

If `a, b, c` are the sides of a scalene triangle such that |[a , a^2 , a^(3)-1 ],[b , b^2 , b^(3)-1],[ c, c^2 , c^(3)-1]|=0`, then the geometric mean of `a, b c` is

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