Let `x_(1)` and `x_(2)` are the points of maximum and minimum of function `f(x)=2x^(3)-9ax^(2)+12a^(2)x+1` respectively, .If `x_(1)^(3)=8x_(2)` then the sum of all possible values of 'a' is

suppose x_1, and x_2 are the point of maximum and the point of minimum respectively of the function f(x)=2x^3-9ax^2 + 12a^2x + 1 respectively, (a> o) then for the equality x_1^2 = x_2 to be true the value of 'a' must be

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The interval on which the function f(x) = 2x^(3) + 9x^(2) + 12 x - 1 is decreasing is