Pure Mathematics - Complex Numbers

Question 1

What is a complex number

Answer 1

A number that has a real value and an imaginary value

Question 2

What is the character to denote an imaginary number

Answer 2

i

Question 3

What operation must be completed to transform the imaginary number ( i ) into a real number, and what is the result

Answer 3

i x i = -1

Question 4

What is the the form/equation to denote a complex number

Answer 4

z = x + iy

Question 5

What is the equation of a quadratic with know roots ‘a’ and ‘b’

Answer 5

(x-a)(x-b) = x^2 - (a+ b)x + ab

Question 6

What is meant by the complex conjugate of a complex number

Answer 6

The complex number with an equal real part and an imaginary part equal in magnitude but opposite in sign.