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- Imaginary and Complex Numbers

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started Now- Intro Lesson5:45
- Lesson: 1a3:32
- Lesson: 1b3:11
- Lesson: 1c6:19
- Lesson: 24:13

Now that we know the basics of imaginary numbers, let's expand our knowledge and learn about another concept that is closely tied to imaginary numbers – complex numbers, a number that is consisted of a real part, and an imaginary part. In this section, we will learn what makes up a complex number, as well as how to plot on a complex plane.

Basic Concepts: Evaluating and simplifying radicals, Solving quadratic equations using the quadratic formula, Nature of roots of quadratic equations: The discriminant

Related Concepts: Imaginary zeros of polynomials

- Introduction
- 1.For the following quadratic equations,

i) find and classify the roots

ii) plot the roots on the complex plane

a)$y=x^2-1$b)$y=x^2+1$c)$y=-x^2+2x-5$ - 2.Given that function $f(x)=2x^2-2x+3$, find the roots of the function

19.

Imaginary and Complex Numbers

19.1

Introduction to imaginary numbers

19.2

Complex numbers and complex planes

19.3

Adding and subtracting complex numbers

19.4

Complex conjugates

19.5

Multiplying and dividing complex numbers

19.6

Distance and midpoint of complex numbers

19.7

Angle and absolute value of complex numbers

19.8

Polar form of complex numbers

19.9

Operations on complex numbers in polar form

We have over 860 practice questions in Sixth Year Maths for you to master.

Get Started Now19.1

Introduction to imaginary numbers

19.2

Complex numbers and complex planes

19.3

Adding and subtracting complex numbers

19.4

Complex conjugates

19.5

Multiplying and dividing complex numbers

19.6

Distance and midpoint of complex numbers

19.7

Angle and absolute value of complex numbers

19.8

Polar form of complex numbers

19.9

Operations on complex numbers in polar form