OCR FP1 2006 June — Question 3

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJune
TopicComplex Numbers Arithmetic
TypeQuadratic from one complex root
3 One root of the quadratic equation \(x ^ { 2 } + p x + q = 0\), where \(p\) and \(q\) are real, is the complex number 2-3i.
  1. Write down the other root.
  2. Find the values of \(p\) and \(q\).
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