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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- Lesson: 15:45
- Lesson: 2a3:32
- Lesson: 2b3:11
- Lesson: 2c6:19
- Lesson: 34:13

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,

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

8.

Imaginary and Complex Numbers

8.1

Introduction to imaginary numbers

8.2

Complex numbers and complex planes

8.3

Adding and subtracting complex numbers

8.4

Complex conjugates

8.5

Multiplying and dividing complex numbers

8.6

Distance and midpoint of complex numbers

8.7

Angle and absolute value of complex numbers

8.8

Polar form of complex numbers

8.9

Operations on complex numbers in polar form

We have over 310 practice questions in Trigonometry for you to master.

Get Started Now8.1

Introduction to imaginary numbers

8.2

Complex numbers and complex planes

8.3

Adding and subtracting complex numbers

8.4

Complex conjugates

8.5

Multiplying and dividing complex numbers

8.6

Distance and midpoint of complex numbers

8.7

Angle and absolute value of complex numbers

8.8

Polar form of complex numbers

8.9

Operations on complex numbers in polar form