Glossary math Term Page

Complex Number

A number system that combines real and imaginary parts

complex-number #common-math-1#algebra

Korean version

Aliases

complex numbers

Prerequisites

Polynomial Exponent

Related Concepts

Polynomial 인수정리

Core Idea

A complex number extends the real number system by including the imaginary unit $i$ , where $i^2=-1$ . This lets us describe solutions to equations that cannot be solved inside the real numbers alone.

Why It Matters Here

In Mathbong, complex numbers help bridge quadratic equations, algebraic structure, and later applications in engineering and signal processing.

Posts Mentioning This Concept

[Common Math 1 Part 10] Factorization and the Roots of Equations Learn how factorization turns the form of a polynomial into information about an equation's roots, and why the point where real-number factorization stops leads to complex numbers [공통수학1 시리즈 10편] 인수분해와 방정식의 해 인수분해가 다항식의 모양을 방정식의 해 정보로 바꾸는 원리임을 이해하고, 실수에서 인수분해가 막히는 지점이 복소수로 이어짐을 살펴본다 [Common Math 1 Part 14] The Discriminant and the Number of Roots Explains how the discriminant determines the number and type of roots of a quadratic equation and how it comes directly from the quadratic formula.