Complex Numbers Summary

Complex Numbers

Summary

most polynomial equations can be solved with an answer from the set of real numbers.

however, there are some equations, such as x2 + 1 = 0, which cannot be solved using real numbers.

this type of equation can be solved by creating one new number called i, where i = √-1

use of the number i allows for the solution of a whole set of equations involving the square roots of negative numbers.

the number system formed by the real numbers with the addition of the 
number i and including numbers in the from 3 + 5i is called the set of complex numbers.

Key Skills
  • use of the complex number i
  • solution of quadratic eqautions using i

Vocabulary

complex numbers, real numbers, polynomial equation.