What are complex numbers?
Understand the Problem
The question is asking about complex numbers, possibly seeking information on their definition, properties, or applications in mathematics.
Answer
A complex number is in the form a + bi, where a and b are real numbers and i is the imaginary unit.
A complex number is in the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i² = -1.
Answer for screen readers
A complex number is in the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i² = -1.
More Information
Complex numbers, introduced by extending the real numbers with the imaginary unit 'i', enable solutions to polynomial equations that have no real solutions. They have applications in engineering and physics, particularly in describing wave behavior and electrical circuits.
Tips
A common mistake is assuming a complex number only exists if both parts, real and imaginary, are non-zero. In fact, either part can be zero.
Sources
- Complex number - Wikipedia - en.wikipedia.org
- Intro to complex numbers (article) - Khan Academy - khanacademy.org
- Complex Numbers (Definition, Formulas, Examples) - BYJU'S - byjus.com
