Edexcel FP1 — Question 4

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
TopicComplex Numbers Arithmetic
TypeQuadratic from one complex root
4. Given that \(2 + \mathrm { i }\) is a root of the equation $$z ^ { 2 } + b z + c = 0 , \text { where } b \text { and } c \text { are real constants, }$$
  1. write down the other root of the equation,
  2. find the value of \(b\) and the value of \(c\).
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