OCR FP1 2008 June — Question 9

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJune
TopicComplex Numbers Arithmetic
TypeSquare roots with follow-up application
9
  1. Use an algebraic method to find the square roots of the complex number \(5 + 12 \mathrm { i }\).
  2. Find \(( 3 - 2 \mathrm { i } ) ^ { 2 }\).
  3. Hence solve the quartic equation \(x ^ { 4 } - 10 x ^ { 2 } + 169 = 0\).
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