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One of the roots of x^3 - 5x^2 + 5x - 1 = 0 is 2 - sqrt(3).  What are the other two roots?

 Dec 5, 2019
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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

 

 

cool cool cool

 Dec 5, 2019

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