AQA FP1 2009 January — Question 2

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionJanuary
TopicComplex Numbers Arithmetic
TypeQuadratic from one complex root
2 The complex number \(2 + 3 \mathrm { i }\) is a root of the quadratic equation $$x ^ { 2 } + b x + c = 0$$ where \(b\) and \(c\) are real numbers.
  1. Write down the other root of this equation.
  2. Find the values of \(b\) and \(c\).
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