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According to the complex conjugates theorem, if -3+i is a root of a function what else is a root?

According to the complex conjugates theorem, if -3+i is a root of a function what-example-1
User Scagnetti
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To have an understanding of the question, we need to understand what the complex conjugates theorem is.

In a simpler form, what the complex conjugate theorem is saying is that perhaps, we have a Polynomial N with a complex root x + yi, then the complex conjugate of x + yi which in this case is x -yi is also a root of the polynomial N

Applying this to the question at hand;

x = -3 and y = 1

We find the conjugate of the above by negating y( turning it to a negative number)

So its conjugate will be -3 -i

Summarily; According to the complex conjugates theorem, if -3+i is a root of a function , -3 - i is also a root of the function

User Jasonsemko
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