Question

Question 2

Answer 1

Answer: $5+i$

Step-by-step explanation:

By definition, you know that the Complex numbers have the following form:

$a+bi$

 Where "a" and "b" are real numbers and "i" is the imaginary unit (Remember that $i=\sqrt{-1}$)

Having a polynomial P(x) with real coefficients, the Complex Conjugates rTheorem  states that if $a + bi$ is a root of the the polynomial, then  its complex conjugate $a- bi$  is also a root of the  polynomial.

In other words,  this Theorem states that the complex roots always appear in conjugate pairs.

Based on this, if you have the following root of a function:

$5-i$

Then, its complex conjugate is also root of a function. This is:

$5+i$