OCR FP3 2010 January — Question 4

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2010
SessionJanuary
TopicComplex numbers 2

4
  1. Write down, in cartesian form, the roots of the equation \(z ^ { 4 } = 16\).
  2. Hence solve the equation \(w ^ { 4 } = 16 ( 1 - w ) ^ { 4 }\), giving your answers in cartesian form.