A cubic polynomial with rational coefficients has the roots 6 + sqrt 6 and 2/3 . Find one additional root.

-6-sqrt6

6+sqrt6

-6+sqrt6

6-sqrt6

The correct answer is 6 - sqrt(6)

We know this because when we solve with the quadratic equation, the numbers come out with a constant plus and minus the discriminant under a square root symbol. You can see that below in the quadratic equation.

\(\frac{-b +/- \sqrt{ b^{2} - 4ac } }{2a}\)

So seeing that one answer is 6 + sqrt(6), we can assume 6 is the discriminat and 6 is the constant. Thus giving us the new answer as well.

Answer Link

A cubic polynomial with rational coefficients has the roots 6 + sqrt 6 and 2/3 . Find one additional root. -6-sqrt66+sqrt6-6+sqrt66-sqrt6

Verified Answer :

Related Questions

A cubic polynomial with rational coefficients has the roots 6 + sqrt 6 and 2/3 . Find one additional root.

-6-sqrt6

6+sqrt6

-6+sqrt6

6-sqrt6