One of the roots of x^3 - 5x^2 + 5x - 1 = 0 is 2 - sqrt(3). What are the other two roots?
One of the roots of x^3 - 5x^2 + 5x - 1 = 0 is 2 - sqrt(3). What are the other two roots?
One of the other roots is 2 + sqrt (3)
Notice that if we can add the coefficients and the constant and we get 0 as a result, then 1 is also a root
So
1 - 5 + 5 - 1 = 0
So the remaining root is 1