Find the unique value of a for which the polynomial x^3 - 12x^2 + ax - 64 has all real, nonnegative roots.
The value of a is 2*sqrt(3).
I just answerd in full and then lost it.
The short answer.
there is an a such that the polynomial is (x-4)^3
This will have all real and positive roots. they are all x=4.
fiind the 'a' that makes this expansion work and you have your answer.
