Question

According to the complex conjugates theorem, if 5-i5 − i is a root of a function what else is a root?

Group of answer choices
: 5+i 5 + i

: -5+i − 5 + i

: -5-i − 5 − i

: -5i

Answer 1

5 + i

Explanation:

The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.

Now, in our case (5 - i) is a root of a polynomial.

The complex number (5 - i) has conjugate and it is (5 + i).

Therefore, (5 + i) will also be a root of the same polynomial. (Answer)