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Answer to Question #43856 in Algebra for Jeremy

Question #43856
what are the zeros of the equation -x^3+5x^2-17x+13

Expert's answer
We can rewrite the equation in the next form: (x-1)(x^2-4x+13)=0. ----> x-1=0 or x^2-4x+13=0.

 x^2-4x+13=(x-2)^2+9. So, the zeros of the equation x^2-4x+13:  2-3i, 2+3i.
Thus, we have that 1, 2-3i and 2+3i are zeros of the equation -x^3+5x^2-17x+13=0.

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