OCR MEI FP1 2007 January — Question 2

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2007
SessionJanuary
TopicComplex Numbers Arithmetic
TypeStandard quadratic with real coefficients

2
  1. Find the roots of the quadratic equation \(z ^ { 2 } - 4 z + 7 = 0\), simplifying your answers as far as possible.
  2. Represent these roots on an Argand diagram.