Intro to Complex Numbers
Read this topicExplanations 3
- Definition of complex numbers Complex numbers are the sum of real and imaginary numbers (and you thought it ended at combining numbers and letters). A complex number will take t…
By Sarah Walker, Alex Federspiel, Anusha Rahman
- (Video) Basics of Complex Numbers by Don't Memorise In this video by Don't Memorise, you will learn about the basics of complex numbers. Summary We previously learned about imag…
By Anusha Rahman
- Complex Numbers Complex numbers are a combination of real and imaginary numbers in the standard form, a+bia+bia+bi, where aaa and bbb are real numbers, and iii is an imaginary n…
By Anusha Rahman
Problems 29
- Can a number be both pure real and pure imaginary?
- What is the imaginary part of 2i−52i - 52i−5?
- Is 5 a complex number?
- Is the set of real numbers R\mathbb{R}R a superset of the set of complex numbers C\mathbb{C}C?
- What is the intersection of R\mathbb{R}R (set of real numbers) and C\mathbb{C}C (set of complex numbers)?
- What is the largest possible value of the discriminant of the quadratic (x−r)(x−r−2)(x-r)(x-r-2)(x−r)(x−r−2), as rrr varies over the complex numbers?
- Which set contains the real numbers?
- Which one of the two complex numbers is pure imaginary?
- Which one of the two complex numbers is pure imaginary?
- Which one of the two complex numbers is pure real?
- Which one of the two complex numbers is purely real?
- Which one of the two complex numbers is pure real?
- Which one of the two complex numbers is pure imaginary?
- What is the real part of 3+4i3 + 4i3+4i?
- Let f(x)f(x)f(x) be a degree 2016 polynomial. What is the minimum possible number of distinct zeros of the form a+bia+bia+bi, with a,ba,ba,b real numbers, that fff can have?
- Identify the real part and the imaginary part of the complex number 3+i53+i\sqrt{5}3+i5.
- Which of the following is the closest and most specific description of π\piπ?
- Which of these are not real numbers?
- True or False\text{True or False}True or False === If a complex number has no imaginary part then it is automatically a real number.
- What is −6i-6i−6i?
- True or false: The expression 3−5i3 - 5i3−5i is a purely imaginary number.
- What is −9+5\sqrt{-9} + 5−9+5?
- In order to enter the whimsical theme park, Laplace Lagoon, you have to choose the number below that is complex but not purely imaginary. Will you enter and ride the best rides,…
- What is the imaginary part of the expression: 46−9i4^6 - 9i46−9i
- Is 000 imaginary or real?
- What is the real part of the complex number 9×3+7i−14×29 \times 3 + 7i - 14 \times 29×3+7i−14×2?
- Find the imaginary part of (9×3+7i−14×2)(9 \times 3 + 7i - 14 \times 2)(9×3+7i−14×2).
- Complex numbers are closed under which of the following operations?
- Which of the following statements about complex numbers is equivalent to the FTA?