OCR FP1 2011 June — Question 9

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJune
TopicRoots of polynomials

9 One root of the quadratic equation \(x ^ { 2 } + a x + b = 0\), where \(a\) and \(b\) are real, is \(16 - 30 \mathrm { i }\).
  1. Write down the other root of the quadratic equation.
  2. Find the values of \(a\) and \(b\).
  3. Use an algebraic method to solve the quartic equation \(y ^ { 4 } + a y ^ { 2 } + b = 0\).