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The function f(x)=sqrt(a x^3+b x^2+c x+d...

The function `f(x)=sqrt(a x^3+b x^2+c x+d)` has its non-zero local minimum and local maximum values at `x=-2 and x = 2`, respectively. If `a` is a root of `x^2-x-6=0`, then find a,b,c and d.

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