Explore complex numbers and their properties with Khan Academy's free, interactive algebra lessons.

Algebra of complex numbers This lesson covers skills from the following lessons of the NCERT Math Textbook: (i) 4.3 - Algebra of complex numbers

Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.

Review the polar form of complex numbers, and use it to multiply, divide, and find powers of complex numbers.

Unit 15: Complex numbers and quadratic equations What are the imaginary numbers? Learn Intro to the imaginary numbers

Why do we need complex numbers to solve some quadratic equations? Some quadratic equations don't have any "real" solutions, but they do have complex solutions. For example, x …

Defining complex numbers A complex number is any number that can be written as a + b i , where i is the imaginary unit and a and b are real numbers.

- [Instructor] Let's practice balancing complex chemical equations in this video. And if you're new to this, well, you can watch our previous videos on middle school chemistry.

Practice Parts of complex numbers Get 3 of 4 questions to level up! Practice Not started

Complex roots of the characteristic equations 1 Complex roots of the characteristic equations 2 Complex roots of the characteristic equations 3 Repeated roots of the characteristic equation …