Complex Numbers

Question 1

What is a complex number?

Answer 1

a+bi

Question 2

Simplify complex number division

Answer 2

Multiply the whole division by the conjugate of the denominator.

Question 3

Calculate the inverse

Answer 3

If z=a+bi
Divide a by (a^2+b^2) and -b by (a^2+b^2)

Question 4

Complex root theorem

Answer 4

(x-(a+bi))(x-(a-bi)) = x^2-(a+bi+a-bi)x+(a+bi)(a-bi)