SOLUTION: find all the REAL zeros of the function x^4-4x^3+4x-1

SOLUTION: find all the REAL zeros of the function x^4-4x^3+4x-1

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Question 427393: find all the REAL zeros of the function x^4-4x^3+4x-1
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Solution:First we factor the function:
=
=
=
To find all the zeros equalize to zero all the factors:
x-1=0 => x=1; x+1=0 => x=-1;
=>

The solution set of this function is:{-1, 1, 2+-sqrt(3)}

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