Complex Numbers

FP1 Complex Numbers (Edexcel Further Pure Maths)
Basics - video on powers of i

Complex Numbers: Addition, Subtraction and Multiplication
Example:
z₁ = 3 + 2i
z₂ = 4 - 3i
Find:

1. z₁ + z₂
   
2. z₁ - z₂
   
3. 5z₁
   
4. i²
   
5. z₁z₂
   Expand the following:
   
6. i³
   
7. i⁴
   
8. 2i⁸ - (3i)²
   
9. (3 - 2i)⁴

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FP1 Edexcel January 2013 Q2
Example:
z = 50/(3 + 4i)
Find in the form ai + b where a,b ∈ ℝ,
(a) z
(b) z²
Find
(c) |z|
(d) arg z², giving your answer in degrees to 1 decimal place.

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Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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