Question

Question 2

According to the complex conjugates theorem, if 5 - ¿ is a root of a function what else is a root?
o 5ti
5ti
5i
-5 - i

Answer 1

Answer:
`5+i`

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=√(-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`