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Find the unique value of a for which the polynomial x^3 - 12x^2 + ax - 64 has all real, nonnegative roots.

 Dec 10, 2019
 #1
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The value of a is 2*sqrt(3).

 Dec 10, 2019
 #2
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I just answerd in full and then lost it.  angry

 

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.

 Dec 10, 2019

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